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1110240044040 = 2335131109764381
BaseRepresentation
bin10000001001111111011…
…101101010010000001000
310221010201112111220101010
4100021333131222100020
5121142232422402130
62210012013123520
7143132532444231
oct20117735522010
93833645456333
101110240044040
11398939619706
1215b2091895a0
138090643062a
143ba43474088
151dd2e9780b0
hex1027f76a408

1110240044040 has 128 divisors (see below), whose sum is σ = 3359257038720. Its totient is φ = 293531596800.

The previous prime is 1110240044033. The next prime is 1110240044047. The reversal of 1110240044040 is 404400420111.

It is an interprime number because it is at equal distance from previous prime (1110240044033) and next prime (1110240044047).

It is a super-2 number, since 2×11102400440402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1110240043998 and 1110240044016.

It is not an unprimeable number, because it can be changed into a prime (1110240044047) 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, 17212650 + ... + 17277030.

It is an arithmetic number, because the mean of its divisors is an integer number (26244195615).

Almost surely, 21110240044040 is an apocalyptic number.

1110240044040 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 1110240044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679628519360).

1110240044040 is an abundant number, since it is smaller than the sum of its proper divisors (2249016994680).

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

1110240044040 is a wasteful number, since it uses less digits than its factorization.

1110240044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65623 (or 65619 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 1110240044040 its reverse (404400420111), we get a palindrome (1514640464151).

The spelling of 1110240044040 in words is "one trillion, one hundred ten billion, two hundred forty million, forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1097 1310 1572 1965 2194 2620 3144 3291 3930 4388 5240 5485 6582 7860 8776 10970 13164 15720 16455 21940 26328 32910 43880 64381 65820 128762 131640 143707 193143 257524 287414 321905 386286 431121 515048 574828 643810 718535 772572 862242 965715 1149656 1287620 1437070 1545144 1724484 1931430 2155605 2575240 2874140 3448968 3862860 4311210 5748280 7725720 8433911 8622420 16867822 17244840 25301733 33735644 42169555 50603466 67471288 70625957 84339110 101206932 126508665 141251914 168678220 202413864 211877871 253017330 282503828 337356440 353129785 423755742 506034660 565007656 706259570 847511484 1012069320 1059389355 1412519140 1695022968 2118778710 2825038280 4237557420 8475114840 9252000367 18504000734 27756001101 37008001468 46260001835 55512002202 74016002936 92520003670 111024004404 138780005505 185040007340 222048008808 277560011010 370080014680 555120022020 1110240044040