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4241131401344 = 27196907252481
BaseRepresentation
bin111101101101110111001…
…000010111000010000000
3120000110002201222001210112
4331231313020113002000
51023441314114320334
613004203204450452
7615261122050115
oct75556710270200
916013081861715
104241131401344
111395721123442
12585b623a9a28
13249c246c38c6
141093b3d8290c
15754c54014ce
hex3db77217080

4241131401344 has 64 divisors (see below), whose sum is σ = 8895142845600. Its totient is φ = 2008658165760.

The previous prime is 4241131401337. The next prime is 4241131401421. The reversal of 4241131401344 is 4431041311424.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×42411314013442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4241131401344.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16671584 + ... + 16924064.

Almost surely, 24241131401344 is an apocalyptic number.

It is an amenable number.

4241131401344 is an abundant number, since it is smaller than the sum of its proper divisors (4654011444256).

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

4241131401344 is a wasteful number, since it uses less digits than its factorization.

4241131401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259421 (or 259409 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 4241131401344 its reverse (4431041311424), we get a palindrome (8672172712768).

The spelling of 4241131401344 in words is "four trillion, two hundred forty-one billion, one hundred thirty-one million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 6907 13814 27628 55256 110512 131233 221024 252481 262466 442048 504962 524932 884096 1009924 1049864 2019848 2099728 4039696 4199456 4797139 8079392 8398912 9594278 16158784 16797824 19188556 32317568 38377112 76754224 153508448 307016896 614033792 1743886267 3487772534 6975545068 13951090136 27902180272 33133839073 55804360544 66267678146 111608721088 132535356292 223217442176 265070712584 530141425168 1060282850336 2120565700672 4241131401344