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2342077500240 = 2434517127167407
BaseRepresentation
bin100010000101001110101…
…100101000101101010000
322021220022102000100210000
4202011032230220231100
5301333033320001430
64551534025010000
7331131602165262
oct42051654505520
98256272010700
102342077500240
118232a6766875
12319ab1023900
1313cb1a9861ca
148150006db32
1540dc9743e60
hex2214eb28b50

2342077500240 has 400 divisors, whose sum is σ = 8680744968192. Its totient is φ = 583183577088.

The previous prime is 2342077500239. The next prime is 2342077500251. The reversal of 2342077500240 is 420057702432.

It is a happy number.

2342077500240 is a `hidden beast` number, since 2 + 3 + 42 + 0 + 77 + 500 + 2 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2342077500195 and 2342077500204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13906617 + ... + 14074023.

Almost surely, 22342077500240 is an apocalyptic number.

2342077500240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342077500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340372484096).

2342077500240 is an abundant number, since it is smaller than the sum of its proper divisors (6338667467952).

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

2342077500240 is a wasteful number, since it uses less digits than its factorization.

2342077500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167576 (or 167561 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 2342077500240 in words is "two trillion, three hundred forty-two billion, seventy-seven million, five hundred thousand, two hundred forty".