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1040235542440 = 235233137985781
BaseRepresentation
bin11110010001100101101…
…11101011011110101000
310200110000210200202110121
433020302313223132220
5114020400244324230
62113513321453024
7135104002135333
oct17106267533650
93613023622417
101040235542440
11371185932506
12149730941174
137712b09b013
14384c200961a
151c0d3c7877a
hexf232deb7a8

1040235542440 has 128 divisors (see below), whose sum is σ = 2589215569920. Its totient is φ = 374754124800.

The previous prime is 1040235542399. The next prime is 1040235542441. The reversal of 1040235542440 is 442455320401.

It is a junction number, because it is equal to n+sod(n) for n = 1040235542396 and 1040235542405.

It is not an unprimeable number, because it can be changed into a prime (1040235542441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562350 + ... + 1548130.

It is an arithmetic number, because the mean of its divisors is an integer number (20228246640).

Almost surely, 21040235542440 is an apocalyptic number.

1040235542440 is a gapful number since it is divisible by the number (10) 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 1040235542440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294607784960).

1040235542440 is an abundant number, since it is smaller than the sum of its proper divisors (1548980027480).

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

1040235542440 is a wasteful number, since it uses less digits than its factorization.

1040235542440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985883 (or 985879 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The spelling of 1040235542440 in words is "one trillion, forty billion, two hundred thirty-five million, five hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 31 37 40 46 62 74 92 115 124 148 155 184 185 230 248 296 310 370 460 620 713 740 851 920 1147 1240 1426 1480 1702 2294 2852 3404 3565 4255 4588 5704 5735 6808 7130 8510 9176 11470 14260 17020 22940 26381 28520 34040 45880 52762 105524 131905 211048 263810 527620 985781 1055240 1971562 3943124 4928905 7886248 9857810 19715620 22672963 30559211 36473897 39431240 45345926 61118422 72947794 90691852 113364815 122236844 145895588 152796055 181383704 182369485 226729630 244473688 291791176 305592110 364738970 453459260 611184220 702861853 729477940 838899631 906918520 1130690807 1222368440 1405723706 1458955880 1677799262 2261381614 2811447412 3355598524 3514309265 4194498155 4522763228 5622894824 5653454035 6711197048 7028618530 8388996310 9045526456 11306908070 14057237060 16777992620 22613816140 26005888561 28114474120 33555985240 45227632280 52011777122 104023554244 130029442805 208047108488 260058885610 520117771220 1040235542440