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40255294368 = 2534153192971
BaseRepresentation
bin100101011111011001…
…110000101110100000
310211220110102211112110
4211133121300232200
51124420323404433
630254254355320
72623364233152
oct453731605640
9124813384473
1040255294368
1116088078523
1279754bbb40
133a46c29a13
141d3c464ad2
1510a9114963
hex95f670ba0

40255294368 has 96 divisors (see below), whose sum is σ = 110290444992. Its totient is φ = 12844083200.

The previous prime is 40255294361. The next prime is 40255294423. The reversal of 40255294368 is 86349255204.

It is a happy number.

40255294368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (40255294361) 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, 112123 + ... + 305093.

It is an arithmetic number, because the mean of its divisors is an integer number (1148858802).

Almost surely, 240255294368 is an apocalyptic number.

40255294368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40255294368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55145222496).

40255294368 is an abundant number, since it is smaller than the sum of its proper divisors (70035150624).

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

40255294368 is a wasteful number, since it uses less digits than its factorization.

40255294368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193078 (or 193070 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 40255294368 in words is "forty billion, two hundred fifty-five million, two hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 53 82 96 106 123 159 164 212 246 318 328 424 492 636 656 848 984 1272 1312 1696 1968 2173 2544 3936 4346 5088 6519 8692 13038 17384 26076 34768 52152 69536 104304 192971 208608 385942 578913 771884 1157826 1543768 2315652 3087536 4631304 6175072 7911811 9262608 10227463 15823622 18525216 20454926 23735433 30682389 31647244 40909852 47470866 61364778 63294488 81819704 94941732 122729556 126588976 163639408 189883464 245459112 253177952 327278816 379766928 419325983 490918224 759533856 838651966 981836448 1257977949 1677303932 2515955898 3354607864 5031911796 6709215728 10063823592 13418431456 20127647184 40255294368