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1353235422340 = 2251372412049301
BaseRepresentation
bin10011101100010011000…
…111011101110010000100
311210100221022012002221001
4103230103013131302010
5134132411232003330
62513400123303044
7166524302205334
oct23542307356204
94710838162831
101353235422340
114819a41319aa
1219a32397aa84
139a7c0258a49
14496d58850c4
15253028639ca
hex13b131ddc84

1353235422340 has 48 divisors (see below), whose sum is σ = 2874416562864. Its totient is φ = 535113216000.

The previous prime is 1353235422337. The next prime is 1353235422379. The reversal of 1353235422340 is 432245323531.

It can be written as a sum of positive squares in 8 ways, for example, as 69618933316 + 1283616489024 = 263854^2 + 1132968^2 .

It is a super-2 number, since 2×13532354223402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1353235422340.

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, 364311 + ... + 1684990.

It is an arithmetic number, because the mean of its divisors is an integer number (59883678393).

Almost surely, 21353235422340 is an apocalyptic number.

1353235422340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353235422340 is an abundant number, since it is smaller than the sum of its proper divisors (1521181140524).

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

1353235422340 is a wasteful number, since it uses less digits than its factorization.

1353235422340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049688 (or 2049686 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

The spelling of 1353235422340 in words is "one trillion, three hundred fifty-three billion, two hundred thirty-five million, four hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 137 241 274 482 548 685 964 1205 1370 2410 2740 4820 33017 66034 132068 165085 330170 660340 2049301 4098602 8197204 10246505 20493010 40986020 280754237 493881541 561508474 987763082 1123016948 1403771185 1975526164 2469407705 2807542370 4938815410 5615084740 9877630820 67661771117 135323542234 270647084468 338308855585 676617711170 1353235422340