Search a number
-
+
155053241534640 = 24355910950087679
BaseRepresentation
bin100011010000010100100101…
…011000100000100010110000
3202022222221111222221010001010
4203100110211120200202300
5130310343014313102030
61305434250435310520
744442140604120561
oct4320244530404260
9668887458833033
10155053241534640
114544a78a686819
1215482434a4b440
1368695c5121917
142a4088cc10168
1512dd455d9a6b0
hex8d05256208b0

155053241534640 has 80 divisors (see below), whose sum is σ = 488811914035200. Its totient is φ = 40646725460736.

The previous prime is 155053241534627. The next prime is 155053241534647. The reversal of 155053241534640 is 46435142350551.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 155053241534640.

It is not an unprimeable number, because it can be changed into a prime (155053241534647) 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, 5475029680 + ... + 5475057999.

It is an arithmetic number, because the mean of its divisors is an integer number (6110148925440).

Almost surely, 2155053241534640 is an apocalyptic number.

155053241534640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155053241534640 is an abundant number, since it is smaller than the sum of its proper divisors (333758672500560).

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

155053241534640 is a wasteful number, since it uses less digits than its factorization.

155053241534640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10950087754 (or 10950087748 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 48.

The spelling of 155053241534640 in words is "one hundred fifty-five trillion, fifty-three billion, two hundred forty-one million, five hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 14160 10950087679 21900175358 32850263037 43800350716 54750438395 65700526074 87600701432 109500876790 131401052148 164251315185 175201402864 219001753580 262802104296 328502630370 438003507160 525604208592 646055173061 657005260740 876007014320 1292110346122 1314010521480 1938165519183 2584220692244 2628021042960 3230275865305 3876331038366 5168441384488 6460551730610 7752662076732 9690827595915 10336882768976 12921103461220 15505324153464 19381655191830 25842206922440 31010648306928 38763310383660 51684413844880 77526620767320 155053241534640