Search a number
-
+
146553263144 = 23313163735753
BaseRepresentation
bin1000100001111101000…
…0010101010000101000
3112000021112211010202222
42020133100111100220
54400120113410034
6151154201013212
713405504116521
oct2103720252050
9460245733688
10146553263144
11571755507a2
12244a0484208
1310a874715b2
147143ad9848
153c2b1e412e
hex221f415428

146553263144 has 32 divisors (see below), whose sum is σ = 275841394920. Its totient is φ = 72995859456.

The previous prime is 146553263137. The next prime is 146553263159. The reversal of 146553263144 is 441362355641.

It can be written as a sum of positive squares in 4 ways, for example, as 70177308100 + 76375955044 = 264910^2 + 276362^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146553263095 and 146553263104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4081172 + ... + 4116924.

Almost surely, 2146553263144 is an apocalyptic number.

It is an amenable number.

146553263144 is a deficient number, since it is larger than the sum of its proper divisors (129288131776).

146553263144 is a wasteful number, since it uses less digits than its factorization.

146553263144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37709 (or 37705 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 44.

The spelling of 146553263144 in words is "one hundred forty-six billion, five hundred fifty-three million, two hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 313 626 1252 1637 2504 3274 6548 13096 35753 71506 143012 286024 512381 1024762 2049524 4099048 11190689 22381378 44762756 58527661 89525512 117055322 234110644 468221288 18319157893 36638315786 73276631572 146553263144