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1041043432440 = 233511978130611
BaseRepresentation
bin11110010011000110000…
…01100010001111111000
310200112010002212211012110
433021203001202033320
5114024024104314230
62114125421412320
7135133012112634
oct17114301421770
93615102784173
101041043432440
1137155a9721a0
1214991740a0a0
137722958423b
143855b429dc4
151c12eb5d4b0
hexf2630623f8

1041043432440 has 128 divisors (see below), whose sum is σ = 3442175896320. Its totient is φ = 249772339200.

The previous prime is 1041043432433. The next prime is 1041043432441. The reversal of 1041043432440 is 442343401401.

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 = 1041043432398 and 1041043432407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041043432441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3937266 + ... + 4193345.

It is an arithmetic number, because the mean of its divisors is an integer number (26891999190).

Almost surely, 21041043432440 is an apocalyptic number.

1041043432440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1041043432440 is an abundant number, since it is smaller than the sum of its proper divisors (2401132463880).

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

1041043432440 is a wasteful number, since it uses less digits than its factorization.

1041043432440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8130733 (or 8130729 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1041043432440 its reverse (442343401401), we get a palindrome (1483386833841).

The spelling of 1041043432440 in words is "one trillion, forty-one billion, forty-three million, four hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 97 110 120 132 165 194 220 264 291 330 388 440 485 582 660 776 970 1067 1164 1320 1455 1940 2134 2328 2910 3201 3880 4268 5335 5820 6402 8536 10670 11640 12804 16005 21340 25608 32010 42680 64020 128040 8130611 16261222 24391833 32522444 40653055 48783666 65044888 81306110 89436721 97567332 121959165 162612220 178873442 195134664 243918330 268310163 325224440 357746884 447183605 487836660 536620326 715493768 788669267 894367210 975673320 1073240652 1341550815 1577338534 1788734420 2146481304 2366007801 2683101630 3154677068 3577468840 3943346335 4732015602 5366203260 6309354136 7886692670 8675361937 9464031204 10732406520 11830039005 15773385340 17350723874 18928062408 23660078010 26026085811 31546770680 34701447748 43376809685 47320156020 52052171622 69402895496 86753619370 94640312040 104104343244 130130429055 173507238740 208208686488 260260858110 347014477480 520521716220 1041043432440