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1040224240240 = 2452317317411877
BaseRepresentation
bin11110010001100100011…
…00100100001001110000
310200110000000102112202121
433020302030210021300
5114020334401141430
62113512235324024
7135103504103323
oct17106214441160
93613000375677
101040224240240
1137117a512a49
12149728bb0614
1377128941823
14384c07067ba
151c0d2c94a7a
hexf232324270

1040224240240 has 160 divisors (see below), whose sum is σ = 2541073182336. Its totient is φ = 395260293120.

The previous prime is 1040224240219. The next prime is 1040224240249. The reversal of 1040224240240 is 420424220401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040224240249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554194182 + ... + 554196058.

Almost surely, 21040224240240 is an apocalyptic number.

1040224240240 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 1040224240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270536591168).

1040224240240 is an abundant number, since it is smaller than the sum of its proper divisors (1500848942096).

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

1040224240240 is a wasteful number, since it uses less digits than its factorization.

1040224240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 1040224240240 its reverse (420424220401), we get a palindrome (1460648460641).

The spelling of 1040224240240 in words is "one trillion, forty billion, two hundred twenty-four million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 173 184 230 346 368 460 692 865 920 1384 1730 1741 1840 1877 2768 3460 3482 3754 3979 6920 6964 7508 7958 8705 9385 13840 13928 15016 15916 17410 18770 19895 27856 30032 31832 34820 37540 39790 40043 43171 63664 69640 75080 79580 80086 86342 139280 150160 159160 160172 172684 200215 215855 301193 318320 320344 324721 345368 400430 431710 602386 640688 649442 690736 800860 863420 1204772 1298884 1505965 1601720 1623605 1726840 2409544 2597768 3011930 3203440 3247210 3267857 3453680 4819088 5195536 6023860 6494420 6535714 6927439 7468583 12047720 12988840 13071428 13854878 14937166 16339285 24095440 25977680 26142856 27709756 29874332 32678570 34637195 37342915 52285712 55419512 59748664 65357140 69274390 74685830 75160711 110839024 119497328 130714280 138548780 149371660 150321422 261428560 277097560 298743320 300642844 375803555 554195120 565339261 597486640 601285688 751607110 1130678522 1202571376 1503214220 2261357044 2826696305 3006428440 4522714088 5653392610 6012856880 9045428176 11306785220 13002803003 22613570440 26005606006 45227140880 52011212012 65014015015 104022424024 130028030030 208044848048 260056060060 520112120120 1040224240240