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141253476 = 2237213171087
BaseRepresentation
bin10000110101101…
…01101101100100
3100211210102100020
420122311231210
5242130102401
622003315140
73333430500
oct1032655544
9324712306
10141253476
1172808911
123b37bab0
1323358a50
1414a8d300
15c602d36
hex86b5b64

141253476 has 144 divisors (see below), whose sum is σ = 437584896. Its totient is φ = 35030016.

The previous prime is 141253447. The next prime is 141253517. The reversal of 141253476 is 674352141.

141253476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129405 + ... + 130491.

It is an arithmetic number, because the mean of its divisors is an integer number (3038784).

Almost surely, 2141253476 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 141253476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218792448).

141253476 is an abundant number, since it is smaller than the sum of its proper divisors (296331420).

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

141253476 is a wasteful number, since it uses less digits than its factorization.

141253476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1129 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 141253476 is about 11885.0105595241. The cubic root of 141253476 is about 520.7944906343.

The spelling of 141253476 in words is "one hundred forty-one million, two hundred fifty-three thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 49 51 52 68 78 84 91 98 102 119 147 156 182 196 204 221 238 273 294 357 364 442 476 546 588 637 663 714 833 884 1087 1092 1274 1326 1428 1547 1666 1911 2174 2499 2548 2652 3094 3261 3332 3822 4348 4641 4998 6188 6522 7609 7644 9282 9996 10829 13044 14131 15218 18479 18564 21658 22827 28262 30436 32487 36958 42393 43316 45654 53263 55437 56524 64974 73916 84786 91308 98917 106526 110874 129353 129948 159789 169572 197834 213052 221748 240227 258706 296751 319578 388059 395668 480454 517412 593502 639156 692419 720681 776118 905471 960908 1187004 1384838 1441362 1552236 1681589 1810942 2077257 2716413 2769676 2882724 3363178 3621884 4154514 5044767 5432826 6726356 8309028 10089534 10865652 11771123 20179068 23542246 35313369 47084492 70626738 141253476