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41142961552 = 247112932389
BaseRepresentation
bin100110010100010011…
…111100010110010000
310221012022201222222211
4212110103330112100
51133230044232202
630522324241504
72654363255140
oct462423742620
9127168658884
1041142961552
11164a3146a70
127b82840294
133b58ac5a84
141dc42d0920
15110c0071d7
hex9944fc590

41142961552 has 120 divisors (see below), whose sum is σ = 99981011520. Its totient is φ = 15933949440.

The previous prime is 41142961511. The next prime is 41142961583. The reversal of 41142961552 is 25516924114.

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, 105765774 + ... + 105766162.

It is an arithmetic number, because the mean of its divisors is an integer number (833175096).

Almost surely, 241142961552 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 41142961552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49990505760).

41142961552 is an abundant number, since it is smaller than the sum of its proper divisors (58838049968).

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

41142961552 is a wasteful number, since it uses less digits than its factorization.

41142961552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 702 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The spelling of 41142961552 in words is "forty-one billion, one hundred forty-two million, nine hundred sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 293 308 389 586 616 778 1172 1232 1556 2051 2344 2723 3112 3223 4102 4279 4688 5446 6224 6446 8204 8558 10892 12892 16408 17116 21784 22561 25784 29953 32816 34232 43568 45122 51568 59906 68464 85849 90244 113977 119812 171698 180488 227954 239624 343396 360976 455908 479248 600943 686792 797839 911816 944339 1201886 1253747 1373584 1595678 1823632 1888678 2403772 2507494 3191356 3777356 4807544 5014988 6382712 6610373 7554712 8776229 9615088 10029976 12765424 13220746 15109424 17552458 20059952 26441492 33395261 35104916 52882984 66790522 70209832 105765968 133581044 140419664 233766827 267162088 367347871 467533654 534324176 734695742 935067308 1469391484 1870134616 2571435097 2938782968 3740269232 5142870194 5877565936 10285740388 20571480776 41142961552