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1415462910138 = 232195989788189
BaseRepresentation
bin10100100110010000001…
…010011111100010111010
312000022120001012000111100
4110212100022133202322
5141142332001111023
63002131002312230
7204156330135504
oct24462012374272
95008501160440
101415462910138
114a6326a03572
121aa3ab7b8676
13a362931cc44
144c71a0ccd74
1526c45912c43
hex1499029f8ba

1415462910138 has 96 divisors (see below), whose sum is σ = 3319856280000. Its totient is φ = 434474447616.

The previous prime is 1415462910101. The next prime is 1415462910181. The reversal of 1415462910138 is 8310192645141.

1415462910138 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 4 + 629 + 1 + 0 + 13 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1415462910093 and 1415462910102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1401748 + ... + 2189936.

It is an arithmetic number, because the mean of its divisors is an integer number (34581836250).

Almost surely, 21415462910138 is an apocalyptic number.

1415462910138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1415462910138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659928140000).

1415462910138 is an abundant number, since it is smaller than the sum of its proper divisors (1904393369862).

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

1415462910138 is a wasteful number, since it uses less digits than its factorization.

1415462910138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788364 (or 788361 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1415462910138 in words is "one trillion, four hundred fifteen billion, four hundred sixty-two million, nine hundred ten thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 59 89 114 118 171 177 178 267 342 354 531 534 801 1062 1121 1602 1691 2242 3363 3382 5073 5251 6726 10089 10146 10502 15219 15753 20178 30438 31506 47259 94518 99769 199538 299307 598614 788189 897921 1576378 1795842 2364567 4729134 7093701 14187402 14975591 29951182 44926773 46503151 70148821 89853546 93006302 134780319 139509453 140297642 210446463 269560638 279018906 418528359 420892926 631339389 837056718 883559869 1262678778 1332827599 1767119738 2650679607 2665655198 3998482797 4138780439 5301359214 7952038821 7996965594 8277560878 11995448391 12416341317 15904077642 23990896782 24832682634 37249023951 74498047902 78636828341 157273656682 235910485023 471820970046 707731455069 1415462910138