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2141034432 = 26341271981
BaseRepresentation
bin111111110011101…
…1001011111000000
312112012201211002120
41333213121133000
513341101100212
6552241444240
7104025330615
oct17747313700
95465654076
102141034432
119a9615949
124b9040680
132817574a4
141644cc50c
15c7e7088c
hex7f9d97c0

2141034432 has 56 divisors (see below), whose sum is σ = 5803007952. Its totient is φ = 696268800.

The previous prime is 2141034367. The next prime is 2141034439. The reversal of 2141034432 is 2344301412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141034439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128119 + ... + 143862.

It is an arithmetic number, because the mean of its divisors is an integer number (103625142).

Almost surely, 22141034432 is an apocalyptic number.

It is an amenable number.

2141034432 is an abundant number, since it is smaller than the sum of its proper divisors (3661973520).

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

2141034432 is a wasteful number, since it uses less digits than its factorization.

2141034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272037 (or 272027 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2141034432 is about 46271.3132729124. The cubic root of 2141034432 is about 1288.8663461420.

Adding to 2141034432 its reverse (2344301412), we get a palindrome (4485335844).

The spelling of 2141034432 in words is "two billion, one hundred forty-one million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 271981 543962 815943 1087924 1631886 2175848 3263772 4351696 6527544 8703392 11151221 13055088 17406784 22302442 26110176 33453663 44604884 52220352 66907326 89209768 133814652 178419536 267629304 356839072 535258608 713678144 1070517216 2141034432