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3012400143984 = 2437111993408953
BaseRepresentation
bin101011110101100001000…
…010100101111001110000
3101122222112100022212011010
4223311201002211321300
5343323343414101414
610223513313350520
7430432040512260
oct53654102457160
911588470285133
103012400143984
11a61608391460
124079a6868440
1318b0b68566ca
14a5b2db157a0
155355d1a5959
hex2bd610a5e70

3012400143984 has 160 divisors (see below), whose sum is σ = 9707167701504. Its totient is φ = 782047088640.

The previous prime is 3012400143887. The next prime is 3012400144001. The reversal of 3012400143984 is 4893410042103.

It is a congruent number.

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, 7161652 + ... + 7570604.

Almost surely, 23012400143984 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 3012400143984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853583850752).

3012400143984 is an abundant number, since it is smaller than the sum of its proper divisors (6694767557520).

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

3012400143984 is a wasteful number, since it uses less digits than its factorization.

3012400143984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410975 (or 410969 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 3012400143984 in words is "three trillion, twelve billion, four hundred million, one hundred forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 1993 3696 3986 5979 7972 11958 13951 15944 21923 23916 27902 31888 41853 43846 47832 55804 65769 83706 87692 95664 111608 131538 153461 167412 175384 223216 263076 306922 334824 350768 408953 460383 526152 613844 669648 817906 920766 1052304 1226859 1227688 1635812 1841532 2453718 2455376 2862671 3271624 3683064 4498483 4907436 5725342 6543248 7366128 8588013 8996966 9814872 11450684 13495449 17176026 17993932 19629744 22901368 26990898 31489381 34352052 35987864 45802736 53981796 62978762 68704104 71975728 94468143 107963592 125957524 137408208 188936286 215927184 251915048 377872572 503830096 755745144 815043329 1511490288 1630086658 2445129987 3260173316 4890259974 5705303303 6520346632 8965476619 9780519948 11410606606 13040693264 17115909909 17930953238 19561039896 22821213212 26896429857 34231819818 35861906476 39122079792 45642426424 53792859714 62758336333 68463639636 71723812952 91284852848 107585719428 125516672666 136927279272 143447625904 188275008999 215171438856 251033345332 273854558544 376550017998 430342877712 502066690664 753100035996 1004133381328 1506200071992 3012400143984