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1141625004 = 2231317617057
BaseRepresentation
bin100010000001011…
…1101000010101100
32221120011120002120
41010002331002230
54314224000004
6305140552540
740201436532
oct10402750254
92846146076
101141625004
11536465843
1227a3b2750
13152696070
14ab896152
156a3593d9
hex440bd0ac

1141625004 has 96 divisors (see below), whose sum is σ = 3087677376. Its totient is φ = 325140480.

The previous prime is 1141624999. The next prime is 1141625039. The reversal of 1141625004 is 4005261411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158244 + ... + 165300.

It is an arithmetic number, because the mean of its divisors is an integer number (32163306).

Almost surely, 21141625004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141625004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543838688).

1141625004 is an abundant number, since it is smaller than the sum of its proper divisors (1946052372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1141625004 is a wasteful number, since it uses less digits than its factorization.

1141625004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7155 (or 7153 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1141625004 is about 33787.9416952261. The cubic root of 1141625004 is about 1045.1400509776.

Adding to 1141625004 its reverse (4005261411), we get a palindrome (5146886415).

The spelling of 1141625004 in words is "one billion, one hundred forty-one million, six hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 61 68 78 102 122 156 183 204 221 244 366 442 663 732 793 884 1037 1326 1586 2074 2379 2652 3111 3172 4148 4758 6222 7057 9516 12444 13481 14114 21171 26962 28228 40443 42342 53924 80886 84684 91741 119969 161772 183482 239938 275223 359907 366964 430477 479876 550446 719814 860954 1100892 1291431 1439628 1559597 1721908 2582862 3119194 4678791 5165724 5596201 6238388 7318109 9357582 11192402 14636218 16788603 18715164 21954327 22384804 29272436 33577206 43908654 67154412 87817308 95135417 190270834 285406251 380541668 570812502 1141625004