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10145331444 = 22353139114761
BaseRepresentation
bin10010111001011010…
…10111100011110100
3222012001020020101110
421130231113203310
5131234201101234
64354413355020
7506260615533
oct113455274364
928161206343
1010145331444
114336858746
121b71798a70
13c58b43401
146c359431a
153e5a191e9
hex25cb578f4

10145331444 has 48 divisors (see below), whose sum is σ = 24292820160. Its totient is φ = 3294071040.

The previous prime is 10145331433. The next prime is 10145331461. The reversal of 10145331444 is 44413354101.

It is a super-3 number, since 3×101453314443 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31024 + ... + 145784.

It is an arithmetic number, because the mean of its divisors is an integer number (506100420).

Almost surely, 210145331444 is an apocalyptic number.

It is an amenable number.

10145331444 is an abundant number, since it is smaller than the sum of its proper divisors (14147488716).

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

10145331444 is a wasteful number, since it uses less digits than its factorization.

10145331444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114960 (or 114958 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 10145331444 its reverse (44413354101), we get a palindrome (54558685545).

The spelling of 10145331444 in words is "ten billion, one hundred forty-five million, three hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 53 106 139 159 212 278 318 417 556 636 834 1668 7367 14734 22101 29468 44202 88404 114761 229522 344283 459044 688566 1377132 6082333 12164666 15951779 18246999 24329332 31903558 36493998 47855337 63807116 72987996 95710674 191421348 845444287 1690888574 2536332861 3381777148 5072665722 10145331444