Search a number
-
+
4015054134 = 2327133676679
BaseRepresentation
bin1110111101010000…
…1101110100110110
3101100211000212211200
43233110031310312
531210323213014
61502224313330
7201332253120
oct35724156466
911324025750
104015054134
111780436663
12940772846
134bca928a0
142a1352210
1518774aa09
hexef50dd36

4015054134 has 96 divisors (see below), whose sum is σ = 10737592320. Its totient is φ = 1055871936.

The previous prime is 4015054129. The next prime is 4015054151. The reversal of 4015054134 is 4314505104.

It is a happy number.

4015054134 is a `hidden beast` number, since 40 + 1 + 50 + 541 + 34 = 666.

It is a super-2 number, since 2×40150541342 = 32241319397900979912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4015054098 and 4015054107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 597807 + ... + 604485.

It is an arithmetic number, because the mean of its divisors is an integer number (111849920).

Almost surely, 24015054134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4015054134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5368796160).

4015054134 is an abundant number, since it is smaller than the sum of its proper divisors (6722538186).

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

4015054134 is a wasteful number, since it uses less digits than its factorization.

4015054134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074 (or 7071 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4015054134 is about 63364.4548149828. The cubic root of 4015054134 is about 1589.3899712752.

Adding to 4015054134 its reverse (4314505104), we get a palindrome (8329559238).

The spelling of 4015054134 in words is "four billion, fifteen million, fifty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 367 546 734 819 1101 1638 2202 2569 3303 4771 5138 6606 6679 7707 9542 13358 14313 15414 20037 23121 28626 33397 40074 42939 46242 46753 60111 66794 85878 86827 93506 100191 120222 140259 173654 200382 260481 280518 300573 420777 520962 601146 607789 781443 841554 1215578 1562886 1823367 2451193 3646734 4902386 5470101 7353579 10940202 14707158 17158351 22060737 31865509 34316702 44121474 51475053 63731018 95596527 102950106 154425159 191193054 223058563 286789581 308850318 446117126 573579162 669175689 1338351378 2007527067 4015054134