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4001421386976 = 2531323139402919
BaseRepresentation
bin111010001110100111010…
…011001110010011100000
3112011112100221021122022020
4322032213103032103200
51011024402333340401
612302121055141440
7562043644412346
oct72164723162340
915145327248266
104001421386976
111302aa2068752
12547603b14880
13230442424a10
14db95401b996
156e145b76d36
hex3a3a74ce4e0

4001421386976 has 96 divisors (see below), whose sum is σ = 11803524042240. Its totient is φ = 1177675851264.

The previous prime is 4001421386969. The next prime is 4001421386981. The reversal of 4001421386976 is 6796831241004.

It is a happy number.

4001421386976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40014213869762 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 69672756 + ... + 69730163.

It is an arithmetic number, because the mean of its divisors is an integer number (122953375440).

Almost surely, 24001421386976 is an apocalyptic number.

4001421386976 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4001421386976 is an abundant number, since it is smaller than the sum of its proper divisors (7802102655264).

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

4001421386976 is a wasteful number, since it uses less digits than its factorization.

4001421386976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139402968 (or 139402960 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 4001421386976 in words is "four trillion, one billion, four hundred twenty-one million, three hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 736 897 1104 1196 1248 1794 2208 2392 3588 4784 7176 9568 14352 28704 139402919 278805838 418208757 557611676 836417514 1115223352 1672835028 1812237947 2230446704 3206267137 3345670056 3624475894 4460893408 5436713841 6412534274 6691340112 7248951788 9618801411 10873427682 12825068548 13382680224 14497903576 19237602822 21746855364 25650137096 28995807152 38475205644 41681472781 43493710728 51300274192 57991614304 76950411288 83362945562 86987421456 102600548384 125044418343 153900822576 166725891124 173974842912 250088836686 307801645152 333451782248 500177673372 666903564496 1000355346744 1333807128992 2000710693488 4001421386976