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345444245872 = 2411107129714143
BaseRepresentation
bin1010000011011100001…
…01001110000101110000
31020000122121021220120121
411001232011032011300
521124432211331442
6422410033020024
733646300433155
oct5015605160560
91200577256517
10345444245872
111235582a88a0
1256b486b4614
1326762aa361b
1412a107b222c
158ebc100967
hex506e14e170

345444245872 has 80 divisors (see below), whose sum is σ = 737587648512. Its totient is φ = 155421711360.

The previous prime is 345444245857. The next prime is 345444245873. The reversal of 345444245872 is 278542444543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345444245873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24418033 + ... + 24432175.

Almost surely, 2345444245872 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 345444245872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368793824256).

345444245872 is an abundant number, since it is smaller than the sum of its proper divisors (392143402640).

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

345444245872 is a wasteful number, since it uses less digits than its factorization.

345444245872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15566 (or 15560 counting only the distinct ones).

The product of its digits is 17203200, while the sum is 52.

The spelling of 345444245872 in words is "three hundred forty-five billion, four hundred forty-four million, two hundred forty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 107 176 214 428 856 1177 1297 1712 2354 2594 4708 5188 9416 10376 14143 14267 18832 20752 28286 28534 56572 57068 113144 114136 138779 155573 226288 228272 277558 311146 555116 622292 1110232 1244584 1513301 1526569 2220464 2489168 3026602 3053138 6053204 6106276 12106408 12212552 16646311 18343471 24212816 24425104 33292622 36686942 66585244 73373884 133170488 146747768 201778181 266340976 293495536 403556362 807112724 1614225448 1962751397 3228450896 3925502794 7851005588 15702011176 21590265367 31404022352 43180530734 86361061468 172722122936 345444245872