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2720074234140 = 2232525160205273
BaseRepresentation
bin100111100101010001000…
…011101111100100011100
3100122000222122120000001100
4213211101003233210130
5324031203000443030
65441330154513100
7400342655335404
oct47452103574434
910560878500040
102720074234140
11959638aa172a
1237b203435790
1316966a89aa63
149591bc81804
154ab4e5b6360
hex279510ef91c

2720074234140 has 72 divisors (see below), whose sum is σ = 8283764060208. Its totient is φ = 722463264000.

The previous prime is 2720074234103. The next prime is 2720074234201. The reversal of 2720074234140 is 414324700272.

2720074234140 is a `hidden beast` number, since 2 + 7 + 200 + 74 + 2 + 341 + 40 = 666.

2720074234140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2720074234095 and 2720074234104.

It is a congruent number.

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, 30057457 + ... + 30147816.

It is an arithmetic number, because the mean of its divisors is an integer number (115052278614).

Almost surely, 22720074234140 is an apocalyptic number.

2720074234140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2720074234140 is an abundant number, since it is smaller than the sum of its proper divisors (5563689826068).

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

2720074234140 is a wasteful number, since it uses less digits than its factorization.

2720074234140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60205539 (or 60205534 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 2720074234140 in words is "two trillion, seven hundred twenty billion, seventy-four million, two hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 251 502 753 1004 1255 1506 2259 2510 3012 3765 4518 5020 7530 9036 11295 15060 22590 45180 60205273 120410546 180615819 240821092 301026365 361231638 541847457 602052730 722463276 903079095 1083694914 1204105460 1806158190 2167389828 2709237285 3612316380 5418474570 10836949140 15111523523 30223047046 45334570569 60446094092 75557617615 90669141138 136003711707 151115235230 181338282276 226672852845 272007423414 302230470460 453345705690 544014846828 680018558535 906691411380 1360037117070 2720074234140