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421141041043344 = 243222329344760259
BaseRepresentation
bin101111111000001101000101…
…0001001101101011110010000
32001020010200122020202102000200
41133300122022021231132100
5420144433323001341334
64051405305014415200
7154464302410545336
oct13760321211553620
92036120566672020
10421141041043344
11112208a045a9a66
123b297b56661500
13150cb578269b8b
1475dd4998cdb56
1533a4ca1a39799
hex17f068a26d790

421141041043344 has 120 divisors (see below), whose sum is σ = 1187935868071680. Its totient is φ = 139273870300416.

The previous prime is 421141041043291. The next prime is 421141041043351. The reversal of 421141041043344 is 443340140141124.

421141041043344 is a `hidden beast` number, since 4 + 2 + 1 + 141 + 0 + 41 + 0 + 433 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 421141041043299 and 421141041043308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12971314 + ... + 31788945.

It is an arithmetic number, because the mean of its divisors is an integer number (9899465567264).

Almost surely, 2421141041043344 is an apocalyptic number.

It is an amenable number.

421141041043344 is an abundant number, since it is smaller than the sum of its proper divisors (766794827028336).

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

421141041043344 is a wasteful number, since it uses less digits than its factorization.

421141041043344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44760789 (or 44760780 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 421141041043344 its reverse (443340140141124), we get a palindrome (864481181184468).

The spelling of 421141041043344 in words is "four hundred twenty-one trillion, one hundred forty-one billion, forty-one million, forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 223 293 446 586 669 879 892 1172 1338 1758 1784 2007 2344 2637 2676 3516 3568 4014 4688 5274 5352 7032 8028 10548 10704 14064 16056 21096 32112 42192 65339 130678 196017 261356 392034 522712 588051 784068 1045424 1176102 1568136 2352204 3136272 4704408 9408816 44760259 89520518 134280777 179041036 268561554 358082072 402842331 537123108 716164144 805684662 1074246216 1611369324 2148492432 3222738648 6445477296 9981537757 13114755887 19963075514 26229511774 29944613271 39344267661 39926151028 52459023548 59889226542 78688535322 79852302056 89833839813 104918047096 118032802983 119778453084 157377070644 159704604112 179667679626 209836094192 236065605966 239556906168 314754141288 359335359252 472131211932 479113812336 629508282576 718670718504 944262423864 1437341437008 1888524847728 2924590562801 5849181125602 8773771688403 11698362251204 17547543376806 23396724502408 26321315065209 35095086753612 46793449004816 52642630130418 70190173507224 105285260260836 140380347014448 210570520521672 421141041043344