Search a number
-
+
41296229100 = 2232527293741149
BaseRepresentation
bin100110011101011100…
…100111001011101100
310221121000010210112200
4212131130213023230
51134033313312400
630545441301500
72661234104250
oct463534471354
9127530123480
1041296229100
1116571710165
128006034890
133b8179a029
141dda7ca260
15111a6ceb00
hex99d7272ec

41296229100 has 864 divisors, whose sum is σ = 162083376000. Its totient is φ = 8592998400.

The previous prime is 41296229033. The next prime is 41296229119. The reversal of 41296229100 is 192269214.

41296229100 is a `hidden beast` number, since 4 + 1 + 29 + 622 + 9 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 277155826 + ... + 277155974.

It is an arithmetic number, because the mean of its divisors is an integer number (187596500).

Almost surely, 241296229100 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 41296229100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81041688000).

41296229100 is an abundant number, since it is smaller than the sum of its proper divisors (120787146900).

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

41296229100 is a wasteful number, since it uses less digits than its factorization.

41296229100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 41296229100 in words is "forty-one billion, two hundred ninety-six million, two hundred twenty-nine thousand, one hundred".