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10132440504004 = 22713193121524529
BaseRepresentation
bin1001001101110010010010…
…0001000101011011000100
31022212122121012101221120101
42103130210201011123010
52312002214232112004
633314440124413444
72064021215142550
oct223344441053304
938778535357511
1010132440504004
11325716456aa05
1211778999a7284
1358663c82aa60
142705ac79c860
1512887c17dba4
hex937248456c4

10132440504004 has 144 divisors (see below), whose sum is σ = 23737297987200. Its totient is φ = 3674966215680.

The previous prime is 10132440503993. The next prime is 10132440504029. The reversal of 10132440504004 is 40040504423101.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 5884012 + ... + 7408540.

Almost surely, 210132440504004 is an apocalyptic number.

10132440504004 is a gapful number since it is divisible by the number (14) 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 10132440504004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11868648993600).

10132440504004 is an abundant number, since it is smaller than the sum of its proper divisors (13604857483196).

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

10132440504004 is a wasteful number, since it uses less digits than its factorization.

10132440504004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524634 (or 1524601 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 10132440504004 its reverse (40040504423101), we get a palindrome (50172944927105).

The spelling of 10132440504004 in words is "ten trillion, one hundred thirty-two billion, four hundred forty million, five hundred four thousand, four".

Divisors: 1 2 4 7 13 14 19 26 28 31 38 52 62 76 91 124 133 182 217 247 266 364 403 434 494 532 589 806 868 961 988 1178 1612 1729 1922 2356 2821 3458 3844 4123 5642 6727 6916 7657 8246 11284 12493 13454 15314 16492 18259 24986 26908 30628 36518 49972 53599 73036 87451 107198 127813 174902 214396 237367 255626 349804 474734 511252 949468 1524529 1661569 3049058 3323138 6098116 6646276 10671703 19818877 21343406 28966051 39637754 42686812 47260399 57932102 79275508 94520798 115864204 138732139 189041596 202762357 277464278 330822793 376558663 405524714 554928556 614385187 661645586 753117326 811049428 897947581 1228770374 1323291172 1465072369 1506234652 1795895162 2457540748 2635910641 2930144738 3591790324 4300696309 5271821282 5860289476 6285633067 8601392618 10255506583 10543642564 11673318553 12571266134 17202785236 19045940797 20511013166 23346637106 25142532268 27836375011 38091881594 41022026332 46693274212 55672750022 76183763188 81713229871 111345500044 133321585579 163426459742 194854625077 266643171158 326852919484 361872875143 389709250154 533286342316 723745750286 779418500308 1447491500572 2533110126001 5066220252002 10132440504004