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156142416 = 243171791069
BaseRepresentation
bin10010100111010…
…00101101010000
3101212210212010110
421103220231100
5304433024131
623254401320
73604121463
oct1123505520
9355725113
10156142416
1180158121
1244360240
132646c981
1416a472da
15da94646
hex94e8b50

156142416 has 80 divisors (see below), whose sum is σ = 429883200. Its totient is φ = 48666624.

The previous prime is 156142403. The next prime is 156142421. The reversal of 156142416 is 614241651.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145530 + ... + 146598.

It is an arithmetic number, because the mean of its divisors is an integer number (5373540).

Almost surely, 2156142416 is an apocalyptic number.

156142416 is a gapful number since it is divisible by the number (16) 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 156142416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214941600).

156142416 is an abundant number, since it is smaller than the sum of its proper divisors (273740784).

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

156142416 is a wasteful number, since it uses less digits than its factorization.

156142416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1270 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 156142416 is about 12495.6958989886. The cubic root of 156142416 is about 538.4850266845.

The spelling of 156142416 in words is "one hundred fifty-six million, one hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 179 204 272 358 408 537 716 816 1069 1074 1432 2138 2148 2864 3043 3207 4276 4296 6086 6414 8552 8592 9129 12172 12828 17104 18173 18258 24344 25656 36346 36516 48688 51312 54519 72692 73032 109038 145384 146064 191351 218076 290768 382702 436152 574053 765404 872304 1148106 1530808 2296212 3061616 3252967 4592424 6505934 9184848 9758901 13011868 19517802 26023736 39035604 52047472 78071208 156142416