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1040420211012 = 2232713543158477
BaseRepresentation
bin11110010001111011110…
…00001000100101000100
310200110111200011220010100
433020331320020211010
5114021240033223022
62113543515524100
7135111403606560
oct17107570104504
93613450156110
101040420211012
113712700a3766
12149782759630
137715a417b70
14384dc75a6a0
151c0e50a51ac
hexf23de08944

1040420211012 has 144 divisors (see below), whose sum is σ = 3237514239232. Its totient is φ = 274341323520.

The previous prime is 1040420211001. The next prime is 1040420211043. The reversal of 1040420211012 is 2101120240401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17762718 + ... + 17821194.

Almost surely, 21040420211012 is an apocalyptic number.

1040420211012 is a gapful number since it is divisible by the number (12) 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 1040420211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618757119616).

1040420211012 is an abundant number, since it is smaller than the sum of its proper divisors (2197094028220).

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

1040420211012 is a wasteful number, since it uses less digits than its factorization.

1040420211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63938 (or 63933 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1040420211012 its reverse (2101120240401), we get a palindrome (3141540451413).

The spelling of 1040420211012 in words is "one trillion, forty billion, four hundred twenty million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 5431 10862 16293 21724 32586 38017 48879 58477 65172 70603 76034 97758 114051 116954 141206 152068 175431 195516 211809 228102 233908 282412 342153 350862 409339 423618 456204 494221 526293 635427 684306 701724 760201 818678 847236 988442 1052586 1228017 1270854 1368612 1482663 1520402 1637356 1976884 2105172 2280603 2456034 2541708 2965326 3040804 3684051 4447989 4561206 4912068 5321407 5930652 6841809 7368102 8895978 9122412 10642814 13683618 14736204 15964221 17791956 21285628 27367236 31928442 47892663 63856884 95785326 191570652 317588587 635177174 952765761 1270354348 1905531522 2223120109 2858297283 3811063044 4128651631 4446240218 5716594566 6669360327 8257303262 8892480436 11433189132 12385954893 13338720654 16514606524 20008080981 24771909786 26677441308 28900561417 37157864679 40016161962 49543819572 57801122834 74315729358 80032323924 86701684251 115602245668 148631458716 173403368502 260105052753 346806737004 520210105506 1040420211012