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1040034545040 = 243561337210803
BaseRepresentation
bin11110010001001101110…
…00111011110110010000
310200102111210111000212110
433020212320323312100
5114014442320420130
62113441341425320
7135066011525151
oct17104670736620
93612453430773
101040034545040
11371092429157
1214969556b240
13770c8554a4a
14384a3447928
151c0c12c3ab0
hexf226e3bd90

1040034545040 has 160 divisors (see below), whose sum is σ = 3286700816256. Its totient is φ = 271985172480.

The previous prime is 1040034545029. The next prime is 1040034545047. The reversal of 1040034545040 is 405454300401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1040034544989 and 1040034545007.

It is not an unprimeable number, because it can be changed into a prime (1040034545047) 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, 4828279 + ... + 5039081.

Almost surely, 21040034545040 is an apocalyptic number.

1040034545040 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 1040034545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643350408128).

1040034545040 is an abundant number, since it is smaller than the sum of its proper divisors (2246666271216).

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

1040034545040 is a wasteful number, since it uses less digits than its factorization.

1040034545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211217 (or 211211 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 1040034545040 its reverse (405454300401), we get a palindrome (1445488845441).

The spelling of 1040034545040 in words is "one trillion, forty billion, thirty-four million, five hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 337 366 488 610 674 732 915 976 1011 1220 1348 1464 1685 1830 2022 2440 2696 2928 3370 3660 4044 4880 5055 5392 6740 7320 8088 10110 13480 14640 16176 20220 20557 26960 40440 41114 61671 80880 82228 102785 123342 164456 205570 210803 246684 308355 328912 411140 421606 493368 616710 632409 822280 843212 986736 1054015 1233420 1264818 1644560 1686424 2108030 2466840 2529636 3162045 3372848 4216060 4933680 5059272 6324090 8432120 10118544 12648180 12858983 16864240 25296360 25717966 38576949 50592720 51435932 64294915 71040611 77153898 102871864 128589830 142081222 154307796 192884745 205743728 213121833 257179660 284162444 308615592 355203055 385769490 426243666 514359320 568324888 617231184 710406110 771538980 852487332 1028718640 1065609165 1136649776 1420812220 1543077960 1704974664 2131218330 2841624440 3086155920 3409949328 4262436660 4333477271 5683248880 8524873320 8666954542 13000431813 17049746640 17333909084 21667386355 26000863626 34667818168 43334772710 52001727252 65002159065 69335636336 86669545420 104003454504 130004318130 173339090840 208006909008 260008636260 346678181680 520017272520 1040034545040