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41626141312 = 277231214091
BaseRepresentation
bin100110110001000111…
…001000001010000000
310222102222221002000111
4212301013020022000
51140222243010222
631042304401104
73002351235400
oct466107101200
9128388832014
1041626141312
1116720965088
128098616194
133c04c3bb62
14202c548800
15113964b777
hex9b11c8280

41626141312 has 96 divisors (see below), whose sum is σ = 99578471040. Its totient is φ = 17264217600.

The previous prime is 41626141309. The next prime is 41626141327. The reversal of 41626141312 is 21314162614.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87387 + ... + 301477.

It is an arithmetic number, because the mean of its divisors is an integer number (1037275740).

Almost surely, 241626141312 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 41626141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49789235520).

41626141312 is an abundant number, since it is smaller than the sum of its proper divisors (57952329728).

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

41626141312 is a wasteful number, since it uses less digits than its factorization.

41626141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214150 (or 214131 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The spelling of 41626141312 in words is "forty-one billion, six hundred twenty-six million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 392 434 448 496 784 868 896 992 1519 1568 1736 1984 3038 3136 3472 3968 6076 6272 6944 12152 13888 24304 27776 48608 97216 194432 214091 428182 856364 1498637 1712728 2997274 3425456 5994548 6636821 6850912 10490459 11989096 13273642 13701824 20980918 23978192 26547284 27403648 41961836 46457747 47956384 53094568 83923672 92915494 95912768 106189136 167847344 185830988 191825536 212378272 325204229 335694688 371661976 424756544 650408458 671389376 743323952 849513088 1300816916 1342778752 1486647904 2601633832 2973295808 5203267664 5946591616 10406535328 20813070656 41626141312