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2401043314120 = 2351147532190653
BaseRepresentation
bin100010111100001001010…
…101010111010111001000
322111112111211121001212121
4202330021111113113020
5303314314042022440
65035005111021024
7335320043300143
oct42741125272710
98445454531777
102401043314120
118463053a0560
1232940866a774
13145557096a39
14842d543705a
15426cb2b134a
hex22f095575c8

2401043314120 has 128 divisors (see below), whose sum is σ = 6132429181440. Its totient is φ = 838406333440.

The previous prime is 2401043314093. The next prime is 2401043314121. The reversal of 2401043314120 is 214133401042.

It is not an unprimeable number, because it can be changed into a prime (2401043314121) 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, 714 + ... + 2191366.

It is an arithmetic number, because the mean of its divisors is an integer number (47909602980).

Almost surely, 22401043314120 is an apocalyptic number.

2401043314120 is a gapful number since it is divisible by the number (20) 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 2401043314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066214590720).

2401043314120 is an abundant number, since it is smaller than the sum of its proper divisors (3731385867320).

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

2401043314120 is a wasteful number, since it uses less digits than its factorization.

2401043314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190775 (or 2190771 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2401043314120 its reverse (214133401042), we get a palindrome (2615176715162).

The spelling of 2401043314120 in words is "two trillion, four hundred one billion, forty-three million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 53 55 88 94 106 110 188 212 220 235 265 376 424 440 470 517 530 583 940 1034 1060 1166 1880 2068 2120 2332 2491 2585 2915 4136 4664 4982 5170 5830 9964 10340 11660 12455 19928 20680 23320 24910 27401 49820 54802 99640 109604 137005 219208 274010 548020 1096040 2190653 4381306 8762612 10953265 17525224 21906530 24097183 43813060 48194366 87626120 96388732 102960691 116104609 120485915 192777464 205921382 232209218 240971830 411842764 464418436 481943660 514803455 580523045 823685528 928836872 963887320 1029606910 1132567601 1161046090 1277150699 2059213820 2265135202 2322092180 2554301398 4118427640 4530270404 4644184360 5108602796 5456916623 5662838005 6385753495 9060540808 10217205592 10913833246 11325676010 12771506990 21827666492 22651352020 25543013980 27284583115 43655332984 45302704040 51086027960 54569166230 60026082853 109138332460 120052165706 218276664920 240104331412 300130414265 480208662824 600260828530 1200521657060 2401043314120