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1040141343504 = 2431753211111393
BaseRepresentation
bin11110010001011010100…
…00010101101100010000
310200102210020102221211010
433020231100111230100
5114020202140443004
62113500114450520
7135101446354014
oct17105520255420
93612706387733
101040141343504
1137113774344a
12149705293a40
1377114708ac3
14384b36c8544
151c0ca86ca89
hexf22d415b10

1040141343504 has 160 divisors (see below), whose sum is σ = 2900401219584. Its totient is φ = 319982141440.

The previous prime is 1040141343499. The next prime is 1040141343533. The reversal of 1040141343504 is 4053431410401.

It is a super-2 number, since 2×10401413435042 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91290832 + ... + 91302224.

Almost surely, 21040141343504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040141343504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450200609792).

1040141343504 is an abundant number, since it is smaller than the sum of its proper divisors (1860259876080).

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

1040141343504 is a wasteful number, since it uses less digits than its factorization.

1040141343504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13585 (or 13579 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1040141343504 its reverse (4053431410401), we get a palindrome (5093572753905).

The spelling of 1040141343504 in words is "one trillion, forty billion, one hundred forty-one million, three hundred forty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 53 68 102 106 136 159 204 212 272 318 408 424 636 816 848 901 1272 1802 2111 2544 2703 3604 4222 5406 6333 7208 8444 10812 11393 12666 14416 16888 21624 22786 25332 33776 34179 35887 43248 45572 50664 68358 71774 91144 101328 107661 111883 136716 143548 182288 193681 215322 223766 273432 287096 335649 387362 430644 447532 546864 574192 581043 603829 671298 774724 861288 895064 1162086 1207658 1342596 1549448 1722576 1790128 1811487 1902011 2324172 2415316 2685192 3098896 3622974 3804022 4648344 4830632 5370384 5706033 7245948 7608044 9296688 9661264 10265093 11412066 14491896 15216088 20530186 22824132 24050623 28983792 30432176 30795279 41060372 45648264 48101246 61590558 72151869 82120744 91296528 96202492 123181116 144303738 164241488 192404984 246362232 288607476 384809968 408860591 492724464 577214952 817721182 1154429904 1226581773 1274683019 1635442364 2453163546 2549366038 3270884728 3824049057 4906327092 5098732076 6541769456 7648098114 9812654184 10197464152 15296196228 19625308368 20394928304 21669611323 30592392456 43339222646 61184784912 65008833969 86678445292 130017667938 173356890584 260035335876 346713781168 520070671752 1040141343504