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141797472 = 2532931253
BaseRepresentation
bin10000111001110…
…10100001100000
3100212211001120020
420130322201200
5242300004342
622023113440
73341154465
oct1034724140
9325731506
10141797472
117304a5a3
123b5a2880
13234b953b
1414b9166c
15c6ae0ec
hex873a860

141797472 has 144 divisors (see below), whose sum is σ = 405382320. Its totient is φ = 43330560.

The previous prime is 141797471. The next prime is 141797483. The reversal of 141797472 is 274797141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141797471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2675398 + ... + 2675450.

It is an arithmetic number, because the mean of its divisors is an integer number (2815155).

Almost surely, 2141797472 is an apocalyptic number.

141797472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141797472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202691160).

141797472 is an abundant number, since it is smaller than the sum of its proper divisors (263584848).

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

141797472 is a wasteful number, since it uses less digits than its factorization.

141797472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 118 counting only the distinct ones).

The product of its digits is 98784, while the sum is 42.

The square root of 141797472 is about 11907.8743695086. The cubic root of 141797472 is about 521.4621962107.

It can be divided in two parts, 1417 and 97472, that added together give a palindrome (98889).

The spelling of 141797472 in words is "one hundred forty-one million, seven hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 53 58 62 87 93 96 106 116 124 159 174 186 212 232 248 318 348 372 424 464 496 636 696 744 848 899 928 961 992 1272 1392 1488 1537 1643 1696 1798 1922 2544 2697 2784 2883 2976 3074 3286 3596 3844 4611 4929 5088 5394 5766 6148 6572 7192 7688 9222 9858 10788 11532 12296 13144 14384 15376 18444 19716 21576 23064 24592 26288 27869 28768 30752 36888 39432 43152 46128 47647 49184 50933 52576 55738 73776 78864 83607 86304 92256 95294 101866 111476 142941 147552 152799 157728 167214 190588 203732 222952 285882 305598 334428 381176 407464 445904 571764 611196 668856 762352 814928 891808 1143528 1222392 1337712 1477057 1524704 1629856 2287056 2444784 2675424 2954114 4431171 4574112 4889568 5908228 8862342 11816456 17724684 23632912 35449368 47265824 70898736 141797472