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103402414022440 = 23513514193867263
BaseRepresentation
bin10111100000101101000000…
…001010000001111100101000
3111120010011201000120012222011
4113200231000022001330220
5102023121120442204230
61003530225131205304
730531402133145551
oct2740550012017450
9446104630505864
10103402414022440
112aa46799025015
12b7200b72a6834
134590a6246c510
141b769bc73b328
15be4b02802e2a
hex5e0b40281f28

103402414022440 has 64 divisors (see below), whose sum is σ = 250556940748800. Its totient is φ = 38178600483072.

The previous prime is 103402414022437. The next prime is 103402414022443. The reversal of 103402414022440 is 44220414204301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103402414022437) and next prime (103402414022443).

It is not an unprimeable number, because it can be changed into a prime (103402414022443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24804249 + ... + 28671511.

It is an arithmetic number, because the mean of its divisors is an integer number (3914952199200).

Almost surely, 2103402414022440 is an apocalyptic number.

103402414022440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103402414022440 is an abundant number, since it is smaller than the sum of its proper divisors (147154526726360).

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

103402414022440 is a wasteful number, since it uses less digits than its factorization.

103402414022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918706 (or 3918702 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 103402414022440 its reverse (44220414204301), we get a palindrome (147622828226741).

The spelling of 103402414022440 in words is "one hundred three trillion, four hundred two billion, four hundred fourteen million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 51419 102838 205676 257095 411352 514190 668447 1028380 1336894 2056760 2673788 3342235 3867263 5347576 6684470 7734526 13368940 15469052 19336315 26737880 30938104 38672630 50274419 77345260 100548838 154690520 201097676 251372095 402195352 502744190 1005488380 2010976760 198850796197 397701592394 795403184788 994253980985 1590806369576 1988507961970 2585060350561 3977015923940 5170120701122 7954031847880 10340241402244 12925301752805 20680482804488 25850603505610 51701207011220 103402414022440