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385615442140 = 22543883507803
BaseRepresentation
bin1011001110010000111…
…10001011000011011100
31100212100012111010012121
411213020132023003130
522304220023122030
6453052125112324
736600624114355
oct5471036130334
91325305433177
10385615442140
111395a1956155
12628999b86a4
132a495466846
14149419c4d2c
15a06db5247a
hex59c878b0dc

385615442140 has 48 divisors (see below), whose sum is σ = 829564864128. Its totient is φ = 150488138304.

The previous prime is 385615442137. The next prime is 385615442161. The reversal of 385615442140 is 41244516583.

It is a super-3 number, since 3×3856154421403 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505479 + ... + 1013281.

It is an arithmetic number, because the mean of its divisors is an integer number (17282601336).

Almost surely, 2385615442140 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 385615442140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414782432064).

385615442140 is an abundant number, since it is smaller than the sum of its proper divisors (443949421988).

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

385615442140 is a wasteful number, since it uses less digits than its factorization.

385615442140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508738 (or 508736 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 385615442140 in words is "three hundred eighty-five billion, six hundred fifteen million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 883 1766 3532 4415 8830 17660 37969 75938 151876 189845 379690 507803 759380 1015606 2031212 2539015 5078030 10156060 21835529 43671058 87342116 109177645 218355290 436710580 448390049 896780098 1793560196 2241950245 4483900490 8967800980 19280772107 38561544214 77123088428 96403860535 192807721070 385615442140