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240534153031004 = 227375322273196681
BaseRepresentation
bin110110101100001110111000…
…101111110110110101011100
31011112122211200200201112000122
4312230032320233312311130
5223011402421133443004
62211323510415014112
7101444006354255660
oct6654167057666534
91145584620645018
10240534153031004
116a706a63745578
1222b8916920a338
13a42a3725ab5a1
144357cb51588a0
151cc1ca2e1acbe
hexdac3b8bf6d5c

240534153031004 has 96 divisors (see below), whose sum is σ = 503417391071616. Its totient is φ = 98402585149440.

The previous prime is 240534153030973. The next prime is 240534153031009. The reversal of 240534153031004 is 400130351435042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240534153031009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1222867544 + ... + 1223064224.

It is an arithmetic number, because the mean of its divisors is an integer number (5243931156996).

Almost surely, 2240534153031004 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 240534153031004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251708695535808).

240534153031004 is an abundant number, since it is smaller than the sum of its proper divisors (262883238040612).

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

240534153031004 is a wasteful number, since it uses less digits than its factorization.

240534153031004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219055 (or 219053 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 240534153031004 in words is "two hundred forty trillion, five hundred thirty-four billion, one hundred fifty-three million, thirty-one thousand, four".

Divisors: 1 2 4 7 14 28 37 53 74 106 148 212 259 371 518 742 1036 1484 1961 3922 7844 13727 22273 27454 44546 54908 89092 155911 196681 311822 393362 623644 786724 824101 1180469 1376767 1648202 2360938 2753534 3296404 4721876 5507068 5768707 7277197 8263283 10424093 11537414 14554394 16526566 20848186 23074828 29108788 33053132 41696372 43677353 50940379 72968651 87354706 101880758 145937302 174709412 203761516 291874604 305741471 385691441 611482942 771382882 1222965884 1542765764 2699840087 4380675913 5399680174 8761351826 10799360348 17522703652 30664731391 61329462782 122658925564 162085008781 232175823389 324170017562 464351646778 648340035124 928703293556 1134595061467 1625230763723 2269190122934 3250461527446 4538380245868 6500923054892 8590505465393 17181010930786 34362021861572 60133538257751 120267076515502 240534153031004