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40657173918228 = 223272314834730071
BaseRepresentation
bin10010011111010001111000…
…11010001011001000010100
312022221210021100121001011200
421033220330122023020110
520312111343010340403
6222245351534032500
711364245446142010
oct1117507432131024
9168853240531150
1040657173918228
1111a5567982365a
124687771348730
13198bc553224ca
14a07b63b5d540
154a78be14eca3
hex24fa3c68b214

40657173918228 has 144 divisors (see below), whose sum is σ = 122643425888256. Its totient is φ = 11103782564160.

The previous prime is 40657173918223. The next prime is 40657173918271. The reversal of 40657173918228 is 82281937175604.

40657173918228 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 7 + 17 + 391 + 8 + 228 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40657173918223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6230433 + ... + 10960503.

It is a 1-persistent number, because it is pandigital, but 2⋅40657173918228 = 81314347836456 is not.

Almost surely, 240657173918228 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 40657173918228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61321712944128).

40657173918228 is an abundant number, since it is smaller than the sum of its proper divisors (81986251970028).

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

40657173918228 is a wasteful number, since it uses less digits than its factorization.

40657173918228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731594 (or 4731589 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 40657173918228 in words is "forty trillion, six hundred fifty-seven billion, one hundred seventy-three million, nine hundred eighteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1483 1932 2898 2966 4449 5796 5932 8898 10381 13347 17796 20762 26694 31143 34109 41524 53388 62286 68218 93429 102327 124572 136436 186858 204654 238763 306981 373716 409308 477526 613962 716289 955052 1227924 1432578 2148867 2865156 4297734 4730071 8595468 9460142 14190213 18920284 28380426 33110497 42570639 56760852 66220994 85141278 99331491 108791633 132441988 170282556 198662982 217583266 297994473 326374899 397325964 435166532 595988946 652749798 761541431 979124697 1191977892 1305499596 1523082862 1958249394 2284624293 3046165724 3916498788 4569248586 6853872879 7014695293 9138497172 13707745758 14029390586 21044085879 27415491516 28058781172 42088171758 49102867051 63132257637 84176343516 98205734102 126264515274 147308601153 161337991739 196411468204 252529030548 294617202306 322675983478 441925803459 484013975217 589234404612 645351966956 883851606918 968027950434 1129365942173 1452041925651 1767703213836 1936055900868 2258731884346 2904083851302 3388097826519 4517463768692 5808167702604 6776195653038 10164293479557 13552391306076 20328586959114 40657173918228