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41150372448 = 2531727971861
BaseRepresentation
bin100110010100110000…
…001101101001100000
310221012211200111211110
4212110300031221200
51133233443404243
630523151143320
72654513252223
oct462460155140
9127184614743
1041150372448
11164a7348979
127b85214b40
133b5a4bc013
141dc529d5ba
15110c9bce33
hex994c0da60

41150372448 has 144 divisors (see below), whose sum is σ = 114953310864. Its totient is φ = 12886794240.

The previous prime is 41150372447. The next prime is 41150372479. The reversal of 41150372448 is 84427305114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41150372441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22111038 + ... + 22112898.

It is an arithmetic number, because the mean of its divisors is an integer number (798286881).

Almost surely, 241150372448 is an apocalyptic number.

41150372448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41150372448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57476655432).

41150372448 is an abundant number, since it is smaller than the sum of its proper divisors (73802938416).

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

41150372448 is a wasteful number, since it uses less digits than its factorization.

41150372448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 41150372448 in words is "forty-one billion, one hundred fifty million, three hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 797 816 867 1156 1594 1632 1734 1861 2312 2391 3188 3468 3722 4624 4782 5583 6376 6936 7444 9248 9564 11166 12752 13549 13872 14888 19128 22332 25504 27098 27744 29776 31637 38256 40647 44664 54196 59552 63274 76512 81294 89328 94911 108392 126548 162588 178656 189822 216784 230333 253096 325176 379644 433568 460666 506192 537829 650352 690999 759288 921332 1012384 1075658 1300704 1381998 1483217 1518576 1613487 1842664 2151316 2763996 2966434 3037152 3226974 3685328 4302632 4449651 5527992 5932868 6453948 7370656 8605264 8899302 11055984 11865736 12907896 17210528 17798604 22111968 23731472 25214689 25815792 35597208 47462944 50429378 51631584 71194416 75644067 100858756 142388832 151288134 201717512 302576268 403435024 428649713 605152536 806870048 857299426 1210305072 1285949139 1714598852 2420610144 2571898278 3429197704 5143796556 6858395408 10287593112 13716790816 20575186224 41150372448