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2345592742000 = 24533137832141
BaseRepresentation
bin100010001000100000001…
…110001110000001110000
322022020101101120010221021
4202020200032032001300
5301412233220221000
64553314520505224
7331314655225444
oct42104016160160
98266341503837
102345592742000
1182483aa53a52
1231a71231b214
1314025b02b211
1481754c78824
154103316211a
hex2222038e070

2345592742000 has 80 divisors (see below), whose sum is σ = 5854599638784. Its totient is φ = 907971360000.

The previous prime is 2345592741983. The next prime is 2345592742037. The reversal of 2345592742000 is 2472955432.

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

It is a super-2 number, since 2×23455927420002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18854071 + ... + 18978070.

Almost surely, 22345592742000 is an apocalyptic number.

2345592742000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2345592742000 is an abundant number, since it is smaller than the sum of its proper divisors (3509006896784).

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

2345592742000 is a wasteful number, since it uses less digits than its factorization.

2345592742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37832195 (or 37832179 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 2345592742000 in words is "two trillion, three hundred forty-five billion, five hundred ninety-two million, seven hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 6200 7750 12400 15500 31000 62000 37832141 75664282 151328564 189160705 302657128 378321410 605314256 756642820 945803525 1172796371 1513285640 1891607050 2345592742 3026571280 3783214100 4691185484 4729017625 5863981855 7566428200 9382370968 9458035250 11727963710 15132856400 18764741936 18916070500 23455927420 29319909275 37832141000 46911854840 58639818550 75664282000 93823709680 117279637100 146599546375 234559274200 293199092750 469118548400 586398185500 1172796371000 2345592742000