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1355564314140 = 2235271184745137
BaseRepresentation
bin10011101110011101111…
…011011110111000011100
311210120221121102001212220
4103232131323132320130
5134202143431023030
62514423155425340
7166636101361341
oct23563573367034
94716847361786
101355564314140
11482989796873
1219a8738b5250
139aaa18a862a
1449876cb47c8
15253dc040a10
hex13b9dedee1c

1355564314140 has 96 divisors (see below), whose sum is σ = 3811732936704. Its totient is φ = 359946961920.

The previous prime is 1355564314103. The next prime is 1355564314141. The reversal of 1355564314140 is 414134655531.

It is a junction number, because it is equal to n+sod(n) for n = 1355564314092 and 1355564314101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355564314141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30009652 + ... + 30054788.

It is an arithmetic number, because the mean of its divisors is an integer number (39705551424).

Almost surely, 21355564314140 is an apocalyptic number.

1355564314140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355564314140 is an abundant number, since it is smaller than the sum of its proper divisors (2456168622564).

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

1355564314140 is a wasteful number, since it uses less digits than its factorization.

1355564314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47267 (or 47265 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

Adding to 1355564314140 its reverse (414134655531), we get a palindrome (1769698969671).

The spelling of 1355564314140 in words is "one trillion, three hundred fifty-five billion, five hundred sixty-four million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 271 542 813 1084 1355 1626 1847 2710 3252 3694 4065 5420 5541 7388 8130 9235 11082 16260 18470 22164 27705 36940 45137 55410 90274 110820 135411 180548 225685 270822 451370 500537 541644 677055 902740 1001074 1354110 1501611 2002148 2502685 2708220 3003222 5005370 6006444 7508055 10010740 12232127 15016110 24464254 30032220 36696381 48928508 61160635 73392762 83368039 122321270 146785524 166736078 183481905 244642540 250104117 333472156 366963810 416840195 500208234 733927620 833680390 1000416468 1250520585 1667360780 2501041170 5002082340 22592738569 45185477138 67778215707 90370954276 112963692845 135556431414 225927385690 271112862828 338891078535 451854771380 677782157070 1355564314140