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413014212 = 2232137911171
BaseRepresentation
bin11000100111100…
…001100011000100
31001210011021222200
4120213201203010
51321212423322
6104552154500
713143364032
oct3047414304
91053137880
10413014212
111a2154766
12b6398a30
136774a110
143cbd1552
15263d48ac
hex189e18c4

413014212 has 72 divisors (see below), whose sum is σ = 1138650240. Its totient is φ = 125461440.

The previous prime is 413014193. The next prime is 413014249. The reversal of 413014212 is 212410314.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 31387 + ... + 42557.

Almost surely, 2413014212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413014212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569325120).

413014212 is an abundant number, since it is smaller than the sum of its proper divisors (725636028).

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

413014212 is a wasteful number, since it uses less digits than its factorization.

413014212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11273 (or 11268 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 413014212 is about 20322.7510932944. The cubic root of 413014212 is about 744.7119658875.

Adding to 413014212 its reverse (212410314), we get a palindrome (625424526).

The spelling of 413014212 in words is "four hundred thirteen million, fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 234 237 316 468 474 711 948 1027 1422 2054 2844 3081 4108 6162 9243 11171 12324 18486 22342 33513 36972 44684 67026 100539 134052 145223 201078 290446 402156 435669 580892 871338 882509 1307007 1742676 1765018 2614014 2647527 3530036 5228028 5295054 7942581 10590108 11472617 15885162 22945234 31770324 34417851 45890468 68835702 103253553 137671404 206507106 413014212