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100422430041440 = 2551383581686921
BaseRepresentation
bin10110110101010101101011…
…010001010010010101100000
3111011120021211210222001201002
4112311111223101102111200
5101130310114042311230
6553325232200331132
730103165301224133
oct2665255321222540
9434507753861632
10100422430041440
1129aa7a05829701
12b31a658773aa8
134405a43735650
141ab2685cda21a
15b92340441545
hex5b556b452560

100422430041440 has 96 divisors (see below), whose sum is σ = 258576124062816. Its totient is φ = 36632315473920.

The previous prime is 100422430041331. The next prime is 100422430041511. The reversal of 100422430041440 is 44140034224001.

It is a super-2 number, since 2×1004224300414402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 290670821 + ... + 291016100.

It is an arithmetic number, because the mean of its divisors is an integer number (2693501292321).

Almost surely, 2100422430041440 is an apocalyptic number.

100422430041440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100422430041440 is an abundant number, since it is smaller than the sum of its proper divisors (158153694021376).

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

100422430041440 is a wasteful number, since it uses less digits than its factorization.

100422430041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581687032 (or 581687024 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 100422430041440 its reverse (44140034224001), we get a palindrome (144562464265441).

The spelling of 100422430041440 in words is "one hundred trillion, four hundred twenty-two billion, four hundred thirty million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 83 104 130 160 166 208 260 332 415 416 520 664 830 1040 1079 1328 1660 2080 2158 2656 3320 4316 5395 6640 8632 10790 13280 17264 21580 34528 43160 86320 172640 581686921 1163373842 2326747684 2908434605 4653495368 5816869210 7561929973 9306990736 11633738420 15123859946 18613981472 23267476840 30247719892 37809649865 46534953680 48280014443 60495439784 75619299730 93069907360 96560028886 120990879568 151238599460 193120057772 241400072215 241981759136 302477198920 386240115544 482800144430 604954397840 627640187759 772480231088 965600288860 1209908795680 1255280375518 1544960462176 1931200577720 2510560751036 3138200938795 3862401155440 5021121502072 6276401877590 7724802310880 10042243004144 12552803755180 20084486008288 25105607510360 50211215020720 100422430041440