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144642014435152 = 24133153423246683
BaseRepresentation
bin100000111000110100010111…
…111000111101011101010000
3200222010122022200100202001101
4200320310113320331131100
5122424303321143411102
61231343342450314144
742316016645663623
oct4070642770753520
9628118280322041
10144642014435152
11420a6374380393
1214280711b88954
1362928b6678740
1427a09d4813dba
1511ac70dab0e87
hex838d17e3d750

144642014435152 has 80 divisors (see below), whose sum is σ = 317414697159168. Its totient is φ = 63385423096320.

The previous prime is 144642014435141. The next prime is 144642014435159. The reversal of 144642014435152 is 251534410246441.

144642014435152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1446420144351522 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144642014435159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211281598 + ... + 211965085.

Almost surely, 2144642014435152 is an apocalyptic number.

It is an amenable number.

144642014435152 is an abundant number, since it is smaller than the sum of its proper divisors (172772682724016).

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

144642014435152 is a wasteful number, since it uses less digits than its factorization.

144642014435152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423246788 (or 423246782 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 46.

The spelling of 144642014435152 in words is "one hundred forty-four trillion, six hundred forty-two billion, fourteen million, four hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 31 52 53 62 104 106 124 208 212 248 403 424 496 689 806 848 1378 1612 1643 2756 3224 3286 5512 6448 6572 11024 13144 21359 26288 42718 85436 170872 341744 423246683 846493366 1692986732 3385973464 5502206879 6771946928 11004413758 13120647173 22008827516 22432074199 26241294346 44017655032 44864148398 52482588692 88035310064 89728296796 104965177384 170568413249 179456593592 209930354768 291616964587 341136826498 358913187184 583233929174 682273652996 695394300169 1166467858348 1364547305992 1390788600338 2332935716696 2729094611984 2781577200676 4665871433392 5563154401352 9040125902197 11126308802704 18080251804394 36160503608788 72321007217576 144642014435152