Search a number
-
+
210164145040 = 24514387182599
BaseRepresentation
bin1100001110111011000…
…0100101101110010000
3202002110200220202021201
43003232300211232100
511420404010120130
6240314215000544
721120030520633
oct3035660455620
9662420822251
10210164145040
11811481a9873
1234893669154
1316a8401b995
14a259d71c1a
155700957bca
hex30eec25b90

210164145040 has 40 divisors (see below), whose sum is σ = 488668276800. Its totient is φ = 84059354496.

The previous prime is 210164145017. The next prime is 210164145041. The reversal of 210164145040 is 40541461012.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×2101641450404 (a number of 46 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (210164145041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1059661 + ... + 1242259.

It is an arithmetic number, because the mean of its divisors is an integer number (12216706920).

Almost surely, 2210164145040 is an apocalyptic number.

210164145040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210164145040 is an abundant number, since it is smaller than the sum of its proper divisors (278504131760).

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

210164145040 is a wasteful number, since it uses less digits than its factorization.

210164145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196999 (or 196993 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 210164145040 in words is "two hundred ten billion, one hundred sixty-four million, one hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14387 28774 57548 71935 115096 143870 182599 230192 287740 365198 575480 730396 912995 1150960 1460792 1825990 2921584 3651980 7303960 14607920 2627051813 5254103626 10508207252 13135259065 21016414504 26270518130 42032829008 52541036260 105082072520 210164145040