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240225031067376 = 243292632219329567
BaseRepresentation
bin110110100111101110111111…
…101001001001011011110000
31011111120021210110012201121210
4312213232333221021123300
5222441321330423124001
62210525504502320120
7101412454133032215
oct6647567751113360
91144507713181553
10240225031067376
116a5a7955424a63
1222b39278a29040
13a40717a968a84
144346d4c733b0c
151cb8c0e9dcdd6
hexda7bbfa496f0

240225031067376 has 160 divisors (see below), whose sum is σ = 644472511119360. Its totient is φ = 77013759004672.

The previous prime is 240225031067341. The next prime is 240225031067377. The reversal of 240225031067376 is 673760130522042.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240225031067377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8124753745 + ... + 8124783311.

It is an arithmetic number, because the mean of its divisors is an integer number (4027953194496).

Almost surely, 2240225031067376 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 240225031067376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322236255559680).

240225031067376 is an abundant number, since it is smaller than the sum of its proper divisors (404247480051984).

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

240225031067376 is a wasteful number, since it uses less digits than its factorization.

240225031067376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52063 (or 52057 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 240225031067376 in words is "two hundred forty trillion, two hundred twenty-five billion, thirty-one million, sixty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 263 348 464 526 696 789 1052 1392 1578 2104 3156 4208 6312 7627 12624 15254 22193 22881 29567 30508 44386 45762 59134 61016 66579 88701 88772 91524 118268 122032 133158 177402 177544 183048 236536 266316 354804 355088 366096 473072 532632 643597 709608 857443 1065264 1287194 1419216 1714886 1930791 2572329 2574388 3429772 3861582 5144658 5148776 5836759 6859544 7723164 7776121 10289316 10297552 11673518 13719088 15446328 15552242 17510277 20578632 23328363 23347036 30892656 31104484 35020554 41157264 46656726 46694072 62208968 70041108 93313452 93388144 124417936 140082216 169266011 186626904 225507509 280164432 338532022 373253808 451015018 507798033 656180431 676522527 677064044 902030036 1015596066 1312360862 1353045054 1354128088 1804060072 1968541293 2031192132 2624721724 2706090108 2708256176 3608120144 3937082586 4062384264 5249443448 5412180216 7874165172 8124768528 10498886896 10824360432 15748330344 19029232499 31496660688 38058464998 57087697497 76116929996 114175394994 152233859992 172575453353 228350789988 304467719984 345150906706 456701579976 517726360059 690301813412 913403159952 1035452720118 1380603626824 2070905440236 2761207253648 4141810880472 5004688147237 8283621760944 10009376294474 15014064441711 20018752588948 30028128883422 40037505177896 60056257766844 80075010355792 120112515533688 240225031067376