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341124414440 = 23523457811351
BaseRepresentation
bin1001111011011001001…
…10010111101111101000
31012121111112202201212212
410331230212113233220
521042110322230230
6420413240024252
733434244452345
oct4755446275750
91177445681785
10341124414440
11121740925577
1256141a62088
1326224b2c654
1412720ba57cc
158d17c50895
hex4f6c997be8

341124414440 has 64 divisors (see below), whose sum is σ = 802654306560. Its totient is φ = 130231411200.

The previous prime is 341124414419. The next prime is 341124414461. The reversal of 341124414440 is 44414421143.

It is an interprime number because it is at equal distance from previous prime (341124414419) and next prime (341124414461).

It is a super-2 number, since 2×3411244144402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 341124414397 and 341124414406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14765 + ... + 826115.

It is an arithmetic number, because the mean of its divisors is an integer number (12541473540).

Almost surely, 2341124414440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341124414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401327153280).

341124414440 is an abundant number, since it is smaller than the sum of its proper divisors (461529892120).

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

341124414440 is a wasteful number, since it uses less digits than its factorization.

341124414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811842 (or 811838 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 341124414440 its reverse (44414421143), we get a palindrome (385538835583).

The spelling of 341124414440 in words is "three hundred forty-one billion, one hundred twenty-four million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 457 460 914 920 1828 2285 3656 4570 9140 10511 18280 21022 42044 52555 84088 105110 210220 420440 811351 1622702 3245404 4056755 6490808 8113510 16227020 18661073 32454040 37322146 74644292 93305365 149288584 186610730 370787407 373221460 741574814 746442920 1483149628 1853937035 2966299256 3707874070 7415748140 8528110361 14831496280 17056220722 34112441444 42640551805 68224882888 85281103610 170562207220 341124414440