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41123131440 = 2435590329027
BaseRepresentation
bin100110010011001000…
…010011000000110000
310221010221102112012020
4212103020103000300
51133210010201230
630520335231440
72654032564326
oct462310230060
9127127375166
1041123131440
1116492a32346
127b78078580
133b54971a91
141dc180bd16
15110a3db810
hex993213030

41123131440 has 80 divisors (see below), whose sum is σ = 127507696128. Its totient is φ = 10963932928.

The previous prime is 41123131433. The next prime is 41123131453. The reversal of 41123131440 is 4413132114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×411231314402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41123131440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1402207 + ... + 1431233.

Almost surely, 241123131440 is an apocalyptic number.

41123131440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41123131440 is an abundant number, since it is smaller than the sum of its proper divisors (86384564688).

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

41123131440 is a wasteful number, since it uses less digits than its factorization.

41123131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34946 (or 34940 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 41123131440 its reverse (4413132114), we get a palindrome (45536263554).

The spelling of 41123131440 in words is "forty-one billion, one hundred twenty-three million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5903 11806 17709 23612 29027 29515 35418 47224 58054 59030 70836 87081 88545 94448 116108 118060 141672 145135 174162 177090 232216 236120 283344 290270 348324 354180 435405 464432 472240 580540 696648 708360 870810 1161080 1393296 1416720 1741620 2322160 3483240 6966480 171346381 342692762 514039143 685385524 856731905 1028078286 1370771048 1713463810 2056156572 2570195715 2741542096 3426927620 4112313144 5140391430 6853855240 8224626288 10280782860 13707710480 20561565720 41123131440