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1413041632544 = 251729599149531
BaseRepresentation
bin10100100011111111110…
…110000011010100100000
312000002022022010101001102
4110203333312003110200
5141122402124220134
63001050430053532
7204042326462243
oct24437766032440
95002268111042
101413041632544
114a52a4188903
121a9a3494a2a8
13a33317c44c9
144c56a6d125a
1526b5308737e
hex148ffd83520

1413041632544 has 96 divisors (see below), whose sum is σ = 3052247184000. Its totient is φ = 640954961920.

The previous prime is 1413041632517. The next prime is 1413041632553. The reversal of 1413041632544 is 4452361403141.

It is a super-2 number, since 2×14130416325442 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1413041632498 and 1413041632507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9375059 + ... + 9524589.

It is an arithmetic number, because the mean of its divisors is an integer number (31794241500).

Almost surely, 21413041632544 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 1413041632544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526123592000).

1413041632544 is an abundant number, since it is smaller than the sum of its proper divisors (1639205551456).

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

1413041632544 is a wasteful number, since it uses less digits than its factorization.

1413041632544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150186 (or 150178 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 1413041632544 in words is "one trillion, four hundred thirteen billion, forty-one million, six hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 599 928 986 1198 1972 2396 3944 4792 7888 9584 10183 15776 17371 19168 20366 34742 40732 69484 81464 138968 149531 162928 277936 295307 299062 325856 555872 590614 598124 1181228 1196248 2362456 2392496 2542027 4336399 4724912 4784992 5084054 8672798 9449824 10168108 17345596 20336216 34691192 40672432 69382384 73718783 81344864 89569069 138764768 147437566 179138138 294875132 358276276 589750264 716552552 1179500528 1433105104 1522674173 2359001056 2597503001 2866210208 3045348346 5195006002 6090696692 10390012004 12181393384 20780024008 24362786768 41560048016 44157551017 48725573536 83120096032 88315102034 176630204068 353260408136 706520816272 1413041632544