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540042212232 = 233319235721271
BaseRepresentation
bin1111101101111010000…
…01100011001110001000
31220121221110200212001000
413312331001203032020
532322001301242412
61052031510455000
754005515031025
oct7667501431610
91817843625030
10540042212232
11199037828186
12887b7064460
133bc05b8ca93
141c1d125c54c
15e0ab1a74dc
hex7dbd063388

540042212232 has 128 divisors (see below), whose sum is σ = 1647726336000. Its totient is φ = 163124850240.

The previous prime is 540042212123. The next prime is 540042212233. The reversal of 540042212232 is 232212240045.

540042212232 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 422 + 1 + 2 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 540042212196 and 540042212205.

It is not an unprimeable number, because it can be changed into a prime (540042212233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2766244 + ... + 2955027.

It is an arithmetic number, because the mean of its divisors is an integer number (12872862000).

Almost surely, 2540042212232 is an apocalyptic number.

It is an amenable number.

540042212232 is an abundant number, since it is smaller than the sum of its proper divisors (1107684123768).

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

540042212232 is a wasteful number, since it uses less digits than its factorization.

540042212232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721328 (or 5721318 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 540042212232 its reverse (232212240045), we get a palindrome (772254452277).

The spelling of 540042212232 in words is "five hundred forty billion, forty-two million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 27 36 38 46 54 57 69 72 76 92 108 114 138 152 171 184 207 216 228 276 342 414 437 456 513 552 621 684 828 874 1026 1242 1311 1368 1656 1748 2052 2484 2622 3496 3933 4104 4968 5244 7866 10488 11799 15732 23598 31464 47196 94392 5721271 11442542 17163813 22885084 34327626 45770168 51491439 68655252 102982878 108704149 131589233 137310504 154474317 205965756 217408298 263178466 308948634 326112447 394767699 411931512 434816596 526356932 617897268 652224894 789535398 869633192 978337341 1052713864 1184303097 1235794536 1304449788 1579070796 1956674682 2368606194 2500195427 2608899576 2935012023 3158141592 3552909291 3913349364 4737212388 5000390854 5870024046 7105818582 7500586281 7826698728 9474424776 10000781708 11740048092 14211637164 15001172562 20001563416 22501758843 23480096184 28423274328 30002345124 45003517686 60004690248 67505276529 90007035372 135010553058 180014070744 270021106116 540042212232