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405013513341430 = 25729237185940397
BaseRepresentation
bin101110000010110111000111…
…0100101111000100111110110
31222010000220200010010010002001
41130011232032211320213312
5411041220133403411210
63553220350041205514
7151211155265123410
oct13405561645704766
91863026603103061
10405013513341430
111080602a2667624
12395123ba19089a
13144cb7c215a526
147202a899c59b0
1531c54e6da303a
hex1705b8e9789f6

405013513341430 has 96 divisors (see below), whose sum is σ = 886212762192576. Its totient is φ = 130449831740928.

The previous prime is 405013513341427. The next prime is 405013513341433. The reversal of 405013513341430 is 34143315310504.

It is an interprime number because it is at equal distance from previous prime (405013513341427) and next prime (405013513341433).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 405013513341430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405013513341433) 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, 90792009 + ... + 95148388.

It is an arithmetic number, because the mean of its divisors is an integer number (9231382939506).

Almost surely, 2405013513341430 is an apocalyptic number.

405013513341430 is an abundant number, since it is smaller than the sum of its proper divisors (481199248851146).

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

405013513341430 is a wasteful number, since it uses less digits than its factorization.

405013513341430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185940506 (or 185940477 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 405013513341430 its reverse (34143315310504), we get a palindrome (439156828651934).

The spelling of 405013513341430 in words is "four hundred five trillion, thirteen billion, five hundred thirteen million, three hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 37 58 70 74 145 185 203 259 290 370 406 518 841 1015 1073 1295 1682 2030 2146 2590 4205 5365 5887 7511 8410 10730 11774 15022 29435 31117 37555 58870 62234 75110 155585 217819 311170 435638 1089095 2178190 185940397 371880794 929701985 1301582779 1859403970 2603165558 5392271513 6507913895 6879794689 10784543026 13015827790 13759589378 26961357565 34398973445 37745900591 48158562823 53922715130 68797946890 75491801182 96317125646 156375873877 188729502955 199514045981 240792814115 312751747754 377459005910 399028091962 481585628230 781879369385 997570229905 1094631117139 1396598321867 1563758738770 1995140459810 2189262234278 2793196643734 5473155585695 5785907333449 6982991609335 10946311171390 11571814666898 13965983218670 28929536667245 40501351334143 57859073334490 81002702668286 202506756670715 405013513341430