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41293380740 = 22523314367343
BaseRepresentation
bin100110011101010001…
…101111110010000100
310221120210210002022212
4212131101233302010
51134032101140430
630545300242552
72661200642063
oct463521576204
9127523702285
1041293380740
1116570045147
1280050a0458
133b81010701
141dda2881da
15111a31ab95
hex99d46fc84

41293380740 has 96 divisors (see below), whose sum is σ = 95578914816. Its totient is φ = 14933761920.

The previous prime is 41293380683. The next prime is 41293380761. The reversal of 41293380740 is 4708339214.

41293380740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×412933807403 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579509 + ... + 646851.

It is an arithmetic number, because the mean of its divisors is an integer number (995613696).

Almost surely, 241293380740 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 41293380740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47789457408).

41293380740 is an abundant number, since it is smaller than the sum of its proper divisors (54285534076).

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

41293380740 is a wasteful number, since it uses less digits than its factorization.

41293380740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67449 (or 67447 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 41293380740 in words is "forty-one billion, two hundred ninety-three million, three hundred eighty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 23 31 43 46 62 86 92 115 124 155 172 215 230 310 430 460 620 713 860 989 1333 1426 1978 2666 2852 3565 3956 4945 5332 6665 7130 9890 13330 14260 19780 26660 30659 61318 67343 122636 134686 153295 269372 306590 336715 613180 673430 1346860 1548889 2087633 2895749 3097778 4175266 5791498 6195556 7744445 8350532 10438165 11582996 14478745 15488890 20876330 28957490 30977780 41752660 48015559 57914980 66602227 89768219 96031118 133204454 179536438 192062236 240077795 266408908 333011135 359072876 448841095 480155590 666022270 897682190 960311180 1332044540 1795364380 2064669037 4129338074 8258676148 10323345185 20646690370 41293380740