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1405265403036 = 2231137773372223
BaseRepresentation
bin10100011100110000010…
…110000101110010011100
311222100020100202222120010
4110130300112011302130
5141010440420344121
62553323042323220
7203345533561215
oct24346026056234
94870210688503
101405265403036
114a1a73759550
121a8424659510
13a269273c081
144c02da3640c
152684a53e376
hex14730585c9c

1405265403036 has 96 divisors (see below), whose sum is σ = 3678478368768. Its totient is φ = 413791752960.

The previous prime is 1405265403029. The next prime is 1405265403041. The reversal of 1405265403036 is 6303045625041.

It is a junction number, because it is equal to n+sod(n) for n = 1405265402985 and 1405265403003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3589221 + ... + 3961443.

It is an arithmetic number, because the mean of its divisors is an integer number (38317483008).

Almost surely, 21405265403036 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 1405265403036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839239184384).

1405265403036 is an abundant number, since it is smaller than the sum of its proper divisors (2273212965732).

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

1405265403036 is a wasteful number, since it uses less digits than its factorization.

1405265403036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373051 (or 373049 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 1405265403036 in words is "one trillion, four hundred five billion, two hundred sixty-five million, four hundred three thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 773 814 1221 1546 1628 2319 2442 3092 4638 4884 8503 9276 17006 25509 28601 34012 51018 57202 85803 102036 114404 171606 314611 343212 372223 629222 744446 943833 1116669 1258444 1488892 1887666 2233338 3775332 4094453 4466676 8188906 12283359 13772251 16377812 24566718 27544502 41316753 49133436 55089004 82633506 151494761 165267012 287728379 302989522 454484283 575456758 605979044 863185137 908968566 1150913516 1726370274 1817937132 3165012169 3452740548 6330024338 9495036507 10645950023 12660048676 18990073014 21291900046 31937850069 37980146028 42583800092 63875700138 117105450253 127751400276 234210900506 351316350759 468421801012 702632701518 1405265403036