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920317400240 = 245722111112677
BaseRepresentation
bin11010110010001110011…
…00010001010010110000
310020222111111112221202112
431121013030101102300
5110034302223301430
61542442111504452
7123330215554400
oct15310714212260
93228444487675
10920317400240
113253391a8367
1212a444528128
1368a29b44824
14327878d0800
1518e16092195
hexd6473114b0

920317400240 has 120 divisors (see below), whose sum is σ = 2500881777072. Its totient is φ = 314041674240.

The previous prime is 920317400239. The next prime is 920317400269. The reversal of 920317400240 is 42004713029.

It is a junction number, because it is equal to n+sod(n) for n = 920317400197 and 920317400206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270782 + ... + 1383458.

Almost surely, 2920317400240 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 920317400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250440888536).

920317400240 is an abundant number, since it is smaller than the sum of its proper divisors (1580564376832).

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

920317400240 is a wasteful number, since it uses less digits than its factorization.

920317400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112915 (or 1112902 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 920317400240 in words is "nine hundred twenty billion, three hundred seventeen million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 211 245 280 392 422 490 560 784 844 980 1055 1477 1688 1960 2110 2954 3376 3920 4220 5908 7385 8440 10339 11816 14770 16880 20678 23632 29540 41356 51695 59080 82712 103390 118160 165424 206780 413560 827120 1112677 2225354 4450708 5563385 7788739 8901416 11126770 15577478 17802832 22253540 31154956 38943695 44507080 54521173 62309912 77887390 89014160 109042346 124619824 155774780 218084692 234774847 272605865 311549560 436169384 469549694 545211730 623099120 872338768 939099388 1090423460 1173874235 1643423929 1878198776 2180846920 2347748470 3286847858 3756397552 4361693840 4695496940 6573695716 8217119645 9390993880 11503967503 13147391432 16434239290 18781987760 23007935006 26294782864 32868478580 46015870012 57519837515 65736957160 92031740024 115039675030 131473914320 184063480048 230079350060 460158700120 920317400240