Search a number
-
+
250145542440 = 23335297986767
BaseRepresentation
bin1110100011110111010…
…1100001000100101000
3212220200001222011211000
43220331311201010220
513044244224324230
6310525411035000
724033561012513
oct3507565410450
9786601864730
10250145542440
11970a4701462
124059129ba60
131a786289b91
14c16dc99d7a
1567909b7b60
hex3a3dd61128

250145542440 has 128 divisors (see below), whose sum is σ = 862570944000. Its totient is φ = 64405281024.

The previous prime is 250145542369. The next prime is 250145542477. The reversal of 250145542440 is 44245541052.

250145542440 is a `hidden beast` number, since 2 + 50 + 14 + 554 + 2 + 4 + 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 = 250145542395 and 250145542404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3962064 + ... + 4024703.

It is an arithmetic number, because the mean of its divisors is an integer number (6738835500).

Almost surely, 2250145542440 is an apocalyptic number.

250145542440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

250145542440 is an abundant number, since it is smaller than the sum of its proper divisors (612425401560).

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

250145542440 is a wasteful number, since it uses less digits than its factorization.

250145542440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7986816 (or 7986806 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 250145542440 in words is "two hundred fifty billion, one hundred forty-five million, five hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 7830 10440 15660 31320 7986767 15973534 23960301 31947068 39933835 47920602 63894136 71880903 79867670 95841204 119801505 143761806 159735340 191682408 215642709 231616243 239603010 287523612 319470680 359404515 431285418 463232486 479206020 575047224 694848729 718809030 862570836 926464972 958412040 1078213545 1158081215 1389697458 1437618060 1725141672 1852929944 2084546187 2156427090 2316162430 2779394916 2875236120 3474243645 4169092374 4312854180 4632324860 5558789832 6253638561 6948487290 8338184748 8625708360 9264649720 10422730935 12507277122 13896974580 16676369496 20845461870 25014554244 27793949160 31268192805 41690923740 50029108488 62536385610 83381847480 125072771220 250145542440