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402045421120 = 2657359499957
BaseRepresentation
bin1011101100110111100…
…01100100011001000000
31102102202020101112021121
411312123301210121000
523041342111433440
6504410324402024
741022026456620
oct5663361443100
91372666345247
10402045421120
11145563182582
1265b04246314
132bbb33298b5
141565dac2880
15a6d127e34a
hex5d9bc64640

402045421120 has 112 divisors (see below), whose sum is σ = 1097187828480. Its totient is φ = 137459902464.

The previous prime is 402045421117. The next prime is 402045421147. The reversal of 402045421120 is 21124540204.

It is a tau number, because it is divible by the number of its divisors (112).

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, 554182 + ... + 1054138.

Almost surely, 2402045421120 is an apocalyptic number.

402045421120 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 402045421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548593914240).

402045421120 is an abundant number, since it is smaller than the sum of its proper divisors (695142407360).

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

402045421120 is a wasteful number, since it uses less digits than its factorization.

402045421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500340 (or 500330 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 402045421120 its reverse (21124540204), we get a palindrome (423169961324).

The spelling of 402045421120 in words is "four hundred two billion, forty-five million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 359 448 560 718 1120 1436 1795 2240 2513 2872 3590 5026 5744 7180 10052 11488 12565 14360 20104 22976 25130 28720 40208 50260 57440 80416 100520 114880 160832 201040 402080 499957 804160 999914 1999828 2499785 3499699 3999656 4999570 6999398 7999312 9999140 13998796 15998624 17498495 19998280 27997592 31997248 34996990 39996560 55995184 69993980 79993120 111990368 139987960 159986240 179484563 223980736 279975920 358969126 559951840 717938252 897422815 1119903680 1256391941 1435876504 1794845630 2512783882 2871753008 3589691260 5025567764 5743506016 6281959705 7179382520 10051135528 11487012032 12563919410 14358765040 20102271056 25127838820 28717530080 40204542112 50255677640 57435060160 80409084224 100511355280 201022710560 402045421120