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390014219952 = 243271920364151
BaseRepresentation
bin1011010110011101010…
…10001011011010110000
31101021200202120011222100
411223032222023122300
522342222120014302
6455100422140400
740114626112440
oct5531652133260
91337622504870
10390014219952
11140449950015
1263706b81700
132aa1688c456
1414c3bca2120
15a229de8d1c
hex5acea8b6b0

390014219952 has 120 divisors (see below), whose sum is σ = 1313080520960. Its totient is φ = 105567753600.

The previous prime is 390014219911. The next prime is 390014219981. The reversal of 390014219952 is 259912410093.

390014219952 is a `hidden beast` number, since 3 + 90 + 0 + 1 + 421 + 99 + 52 = 666.

It is a super-2 number, since 2×3900142199522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 390014219898 and 390014219907.

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, 10162924 + ... + 10201227.

Almost surely, 2390014219952 is an apocalyptic number.

It is an amenable number.

390014219952 is an abundant number, since it is smaller than the sum of its proper divisors (923066301008).

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

390014219952 is a wasteful number, since it uses less digits than its factorization.

390014219952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20364191 (or 20364182 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 390014219952 in words is "three hundred ninety billion, fourteen million, two hundred nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 19152 20364151 40728302 61092453 81456604 122184906 142549057 162913208 183277359 244369812 285098114 325826416 366554718 386918869 427647171 488739624 570196228 733109436 773837738 855294342 977479248 1140392456 1160756607 1282941513 1466218872 1547675476 1710588684 2280784912 2321513214 2565883026 2708432083 2932437744 3095350952 3421177368 3482269821 4643026428 5131766052 5416864166 6190701904 6842354736 6964539642 8125296249 9286052856 10263532104 10833728332 13929079284 16250592498 18572105712 20527064208 21667456664 24375888747 27858158568 32501184996 43334913328 48751777494 55716317136 65002369992 97503554988 130004739984 195007109976 390014219952