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41457249024 = 283238328277
BaseRepresentation
bin100110100111000010…
…110110101100000000
310222000020010110100120
4212213002312230000
51134401023432044
631013432420240
72665230542142
oct464702665400
9128006113316
1041457249024
1116644599884
12804bb47680
133ba8c56aa9
142013d42c92
1511298d9519
hex9a70b6b00

41457249024 has 144 divisors (see below), whose sum is σ = 116525267712. Its totient is φ = 13058535424.

The previous prime is 41457248999. The next prime is 41457249083. The reversal of 41457249024 is 42094275414.

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, 1451974 + ... + 1480250.

It is an arithmetic number, because the mean of its divisors is an integer number (809203248).

Almost surely, 241457249024 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 41457249024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58262633856).

41457249024 is an abundant number, since it is smaller than the sum of its proper divisors (75068018688).

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

41457249024 is a wasteful number, since it uses less digits than its factorization.

41457249024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28402 (or 28388 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 41457249024 in words is "forty-one billion, four hundred fifty-seven million, two hundred forty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 83 92 96 128 138 166 184 192 249 256 276 332 368 384 498 552 664 736 768 996 1104 1328 1472 1909 1992 2208 2656 2944 3818 3984 4416 5312 5727 5888 7636 7968 8832 10624 11454 15272 15936 17664 21248 22908 28277 30544 31872 45816 56554 61088 63744 84831 91632 113108 122176 169662 183264 226216 244352 339324 366528 452432 488704 650371 678648 733056 904864 1300742 1357296 1466112 1809728 1951113 2346991 2601484 2714592 3619456 3902226 4693982 5202968 5429184 7040973 7238912 7804452 9387964 10405936 10858368 14081946 15608904 18775928 20811872 21716736 28163892 31217808 37551856 41623744 53980793 56327784 62435616 75103712 83247488 107961586 112655568 124871232 150207424 161942379 166494976 215923172 225311136 249742464 300414848 323884758 431846344 450622272 499484928 600829696 647769516 863692688 901244544 1295539032 1727385376 1802489088 2591078064 3454770752 5182156128 6909541504 10364312256 13819083008 20728624512 41457249024