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202313251201440 = 2535421485940003
BaseRepresentation
bin101110000000000010111001…
…011110001010000110100000
3222112022221212022212201100010
4232000002321132022012200
5203004200014301421230
61554141231410524520
760420435652150461
oct5600027136120640
9875287768781303
10202313251201440
115951062800a185
121a8357b6596740
1388b7099a97042
1437d6029490d68
15185c972c4c9b0
hexb800b978a1a0

202313251201440 has 48 divisors (see below), whose sum is σ = 637286741286048. Its totient is φ = 53950200320256.

The previous prime is 202313251201393. The next prime is 202313251201483. The reversal of 202313251201440 is 44102152313202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2023132512014402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 202313251201398 and 202313251201407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210742969522 + ... + 210742970481.

It is an arithmetic number, because the mean of its divisors is an integer number (13276807110126).

Almost surely, 2202313251201440 is an apocalyptic number.

202313251201440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202313251201440 is an abundant number, since it is smaller than the sum of its proper divisors (434973490084608).

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

202313251201440 is a wasteful number, since it uses less digits than its factorization.

202313251201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421485940021 (or 421485940013 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 202313251201440 in words is "two hundred two trillion, three hundred thirteen billion, two hundred fifty-one million, two hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 421485940003 842971880006 1264457820009 1685943760012 2107429700015 2528915640018 3371887520024 4214859400030 5057831280036 6322289100045 6743775040048 8429718800060 10115662560072 12644578200090 13487550080096 16859437600120 20231325120144 25289156400180 33718875200240 40462650240288 50578312800360 67437750400480 101156625600720 202313251201440