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10141232432032 = 251388661274957
BaseRepresentation
bin1001001110010011000010…
…0011101000001110100000
31022220111021220222011111101
42103210300203220032200
52312123221000311112
633322452354124144
72064452123250022
oct223446043501640
938814256864441
1010141232432032
11325a966365629
121179532280654
13587411158930
14270ba42d0012
15128be3e59757
hex939308e83a0

10141232432032 has 48 divisors (see below), whose sum is σ = 21501683704872. Its totient is φ = 4680499000320.

The previous prime is 10141232431951. The next prime is 10141232432137. The reversal of 10141232432032 is 23023423214101.

It can be written as a sum of positive squares in 4 ways, for example, as 4828373390736 + 5312859041296 = 2197356^2 + 2304964^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36745498 + ... + 37020454.

Almost surely, 210141232432032 is an apocalyptic number.

It is an amenable number.

10141232432032 is an abundant number, since it is smaller than the sum of its proper divisors (11360451272840).

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

10141232432032 is a wasteful number, since it uses less digits than its factorization.

10141232432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363641 (or 363633 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10141232432032 its reverse (23023423214101), we get a palindrome (33164655646133).

The spelling of 10141232432032 in words is "ten trillion, one hundred forty-one billion, two hundred thirty-two million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 88661 177322 274957 354644 549914 709288 1099828 1152593 1418576 2199656 2305186 2837152 3574441 4399312 4610372 7148882 8798624 9220744 14297764 18441488 28595528 36882976 57191056 114382112 24377962577 48755925154 97511850308 195023700616 316913513501 390047401232 633827027002 780094802464 1267654054004 2535308108008 5070616216016 10141232432032