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42400220404240 = 24531112371377679
BaseRepresentation
bin10011010010000000100100…
…00100110101101000010000
312120010102101021001221001101
421221000102010311220100
521024141122410413430
6230102220425314144
711634212662621546
oct1151002204655020
9176112337057041
1042400220404240
1112567918057216
124909544035954
131a8742901987a
14a68278501d96
154d7dd8b2cdca
hex269012135a10

42400220404240 has 80 divisors (see below), whose sum is σ = 98977512890880. Its totient is φ = 16891875279360.

The previous prime is 42400220404193. The next prime is 42400220404247. The reversal of 42400220404240 is 4240402200424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42400220404199 and 42400220404208.

It is not an unprimeable number, because it can be changed into a prime (42400220404247) 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, 30087721 + ... + 31465399.

It is an arithmetic number, because the mean of its divisors is an integer number (1237218911136).

Almost surely, 242400220404240 is an apocalyptic number.

42400220404240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42400220404240 is an abundant number, since it is smaller than the sum of its proper divisors (56577292486640).

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

42400220404240 is a wasteful number, since it uses less digits than its factorization.

42400220404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379240 (or 1379234 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 42400220404240 its reverse (4240402200424), we get a palindrome (46640622604664).

The spelling of 42400220404240 in words is "forty-two trillion, four hundred billion, two hundred twenty million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 311 622 1237 1244 1555 2474 2488 3110 4948 4976 6185 6220 9896 12370 12440 19792 24740 24880 49480 98960 384707 769414 1377679 1538828 1923535 2755358 3077656 3847070 5510716 6155312 6888395 7694140 11021432 13776790 15388280 22042864 27553580 30776560 55107160 110214320 428458169 856916338 1704188923 1713832676 2142290845 3408377846 3427665352 4284581690 6816755692 6855330704 8520944615 8569163380 13633511384 17041889230 17138326760 27267022768 34083778460 34276653520 68167556920 136335113840 530002755053 1060005510106 2120011020212 2650013775265 4240022040424 5300027550530 8480044080848 10600055101060 21200110202120 42400220404240