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1400018180040 = 233255944365423
BaseRepresentation
bin10100010111110111100…
…101100001011111001000
311221211200200012102210200
4110113313211201133020
5140414214123230130
62551054240212200
7203101520116044
oct24276745413710
94854620172720
101400018180040
1149a820845217
121a73bb30a060
13a2037600aac
144ba92bbd024
152663ea51760
hex145f79617c8

1400018180040 has 96 divisors (see below), whose sum is σ = 4550205179520. Its totient is φ = 373326194304.

The previous prime is 1400018180023. The next prime is 1400018180051. The reversal of 1400018180040 is 400818100041.

1400018180040 is a `hidden beast` number, since 1 + 400 + 0 + 181 + 80 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1400018179986 and 1400018180013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21366769 + ... + 21432191.

It is an arithmetic number, because the mean of its divisors is an integer number (47397970620).

Almost surely, 21400018180040 is an apocalyptic number.

1400018180040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1400018180040 is an abundant number, since it is smaller than the sum of its proper divisors (3150186999480).

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

1400018180040 is a wasteful number, since it uses less digits than its factorization.

1400018180040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124883 (or 124876 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 1400018180040 in words is "one trillion, four hundred billion, eighteen million, one hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 59443 65423 118886 130846 178329 196269 237772 261692 297215 327115 356658 392538 475544 523384 534987 588807 594430 654230 713316 785076 891645 981345 1069974 1177614 1188860 1308460 1426632 1570152 1783290 1962690 2139948 2355228 2377720 2616920 2674935 2944035 3566580 3925380 4279896 4710456 5349870 5888070 7133160 7850760 10699740 11776140 21399480 23552280 3888939389 7777878778 11666818167 15555757556 19444696945 23333636334 31111515112 35000454501 38889393890 46667272668 58334090835 70000909002 77778787780 93334545336 116668181670 140001818004 155557575560 175002272505 233336363340 280003636008 350004545010 466672726680 700009090020 1400018180040