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2342520252432 = 243271465749199
BaseRepresentation
bin100010000101101001000…
…101100110100000010000
322021221110021010111121100
4202011221011212200100
5301334440141034212
64552050002424400
7331145556420063
oct42055105464020
98257407114540
102342520252432
11823503682078
12319bb5362100
1313cb8b615c59
1481542ba28da
1540e0354ebdc
hex22169166810

2342520252432 has 120 divisors (see below), whose sum is σ = 6649701177600. Its totient is φ = 769661383680.

The previous prime is 2342520252407. The next prime is 2342520252463.

2342520252432 is a `hidden beast` number, since 2 + 3 + 42 + 520 + 2 + 52 + 43 + 2 = 666.

2342520252432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×23425202524322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47588569 + ... + 47637767.

It is an arithmetic number, because the mean of its divisors is an integer number (55414176480).

Almost surely, 22342520252432 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 2342520252432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324850588800).

2342520252432 is an abundant number, since it is smaller than the sum of its proper divisors (4307180925168).

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

2342520252432 is a wasteful number, since it uses less digits than its factorization.

2342520252432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53941 (or 53932 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 2342520 and 252432, that added together give a palindrome (2594952).

The spelling of 2342520252432 in words is "two trillion, three hundred forty-two billion, five hundred twenty million, two hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 4657 5112 9314 10224 13971 18628 27942 37256 41913 49199 55884 74512 83826 98398 111768 147597 167652 196796 223536 295194 330647 335304 393592 442791 590388 661294 670608 787184 885582 991941 1180776 1322588 1771164 1983882 2361552 2645176 2975823 3493129 3542328 3967764 5290352 5951646 6986258 7084656 7935528 10479387 11903292 13972516 15871056 20958774 23806584 27945032 31438161 41917548 47613168 55890064 62876322 83835096 125752644 167670192 229119743 251505288 458239486 503010576 687359229 916478972 1374718458 1832957944 2062077687 2749436916 3665915888 4124155374 5498873832 8248310748 10997747664 16267501753 16496621496 32535003506 32993242992 48802505259 65070007012 97605010518 130140014024 146407515777 195210021036 260280028048 292815031554 390420042072 585630063108 780840084144 1171260126216 2342520252432