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142974468 = 2232713192297
BaseRepresentation
bin10001000010110…
…01111000000100
3100222000212002200
420201121320010
5243100140333
622104234500
73354156120
oct1041317004
9328025080
10142974468
117378391a
123ba6ba30
132380c1a0
1414dba580
15c842c13
hex8859e04

142974468 has 144 divisors (see below), whose sum is σ = 468424320. Its totient is φ = 35707392.

The previous prime is 142974467. The next prime is 142974473. The reversal of 142974468 is 864479241.

It is not an unprimeable number, because it can be changed into a prime (142974467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61096 + ... + 63392.

Almost surely, 2142974468 is an apocalyptic number.

142974468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142974468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234212160).

142974468 is an abundant number, since it is smaller than the sum of its proper divisors (325449852).

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

142974468 is a wasteful number, since it uses less digits than its factorization.

142974468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2341 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 142974468 is about 11957.1931488958. The cubic root of 142974468 is about 522.9010289368.

The spelling of 142974468 in words is "one hundred forty-two million, nine hundred seventy-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 988 1092 1197 1482 1596 1638 1729 2223 2297 2394 2964 3276 3458 4446 4594 4788 5187 6891 6916 8892 9188 10374 13782 15561 16079 20673 20748 27564 29861 31122 32158 41346 43643 48237 59722 62244 64316 82692 87286 89583 96474 119444 130929 144711 174572 179166 192948 209027 261858 268749 289422 305501 358332 392787 418054 523716 537498 567359 578844 611002 627081 785574 836108 916503 1074996 1134718 1222004 1254162 1571148 1702077 1833006 1881243 2269436 2508324 2749509 3404154 3666012 3762486 3971513 5106231 5499018 6808308 7524972 7943026 10212462 10998036 11914539 15886052 20424924 23829078 35743617 47658156 71487234 142974468