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421001311530320 = 24531736413627863
BaseRepresentation
bin101111110111001100000000…
…1100111111010110101010000
32001012122022222021000200122122
41133232120001213322311100
5420140141141222432240
64051221155454153412
7154451224652355653
oct13756300147726520
92035568867020578
10421001311530320
11112164720971784
123b274a5b4b2868
13150bb33a741561
1475d680219189a
1533a13249474b5
hex17ee6019fad50

421001311530320 has 160 divisors (see below), whose sum is σ = 1025842454452224. Its totient is φ = 160485005721600.

The previous prime is 421001311530313. The next prime is 421001311530323. The reversal of 421001311530320 is 23035113100124.

It is a self number, because there is not a number n which added to its sum of digits gives 421001311530320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421001311530323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114232709 + ... + 117860571.

Almost surely, 2421001311530320 is an apocalyptic number.

421001311530320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421001311530320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512921227226112).

421001311530320 is an abundant number, since it is smaller than the sum of its proper divisors (604841142921904).

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

421001311530320 is a wasteful number, since it uses less digits than its factorization.

421001311530320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628621 (or 3628615 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 421001311530320 its reverse (23035113100124), we get a palindrome (444036424630444).

The spelling of 421001311530320 in words is "four hundred twenty-one trillion, one billion, three hundred eleven million, five hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 73 80 124 146 155 248 292 310 365 496 584 620 641 730 1168 1240 1282 1460 2263 2480 2564 2920 3205 4526 5128 5840 6410 9052 10256 11315 12820 18104 19871 22630 25640 36208 39742 45260 46793 51280 79484 90520 93586 99355 158968 181040 187172 198710 233965 317936 374344 397420 467930 748688 794840 935860 1450583 1589680 1871720 2901166 3627863 3743440 5802332 7252915 7255726 11604664 14505830 14511452 18139315 23209328 29011660 29022904 36278630 58023320 58045808 72557260 112463753 116046640 145114520 224927506 264833999 290229040 449855012 529667998 562318765 899710024 1059335996 1124637530 1324169995 1799420048 2118671992 2249275060 2325460183 2648339990 4237343984 4498550120 4650920366 5296679980 8209853969 8997100240 9301840732 10593359960 11627300915 16419707938 18603681464 21186719920 23254601830 32839415876 37207362928 41049269845 46509203660 65678831752 72089265673 82098539690 93018407320 131357663504 144178531346 164197079380 169758593359 186036814640 288357062692 328394158760 339517186718 360446328365 576714125384 656788317520 679034373436 720892656730 848792966795 1153428250768 1358068746872 1441785313460 1697585933590 2716137493744 2883570626920 3395171867180 5262516394129 5767141253840 6790343734360 10525032788258 13580687468720 21050065576516 26312581970645 42100131153032 52625163941290 84200262306064 105250327882580 210500655765160 421001311530320