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1045101512440 = 235192316722853
BaseRepresentation
bin11110011010101001110…
…01111000011011111000
310200220120220212122102201
433031110321320123320
5114110331441344230
62120040224235544
7135335406165646
oct17152471703370
93626526778381
101045101512440
11373252615817
1214a66a46bbb4
137772522c9cb
143882437c196
151c2bb0575ca
hexf354e786f8

1045101512440 has 96 divisors (see below), whose sum is σ = 2482646474880. Its totient is φ = 395896091904.

The previous prime is 1045101512437. The next prime is 1045101512461. The reversal of 1045101512440 is 442151015401.

It is a junction number, because it is equal to n+sod(n) for n = 1045101512399 and 1045101512408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45720054 + ... + 45742906.

It is an arithmetic number, because the mean of its divisors is an integer number (25860900780).

Almost surely, 21045101512440 is an apocalyptic number.

1045101512440 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 1045101512440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241323237440).

1045101512440 is an abundant number, since it is smaller than the sum of its proper divisors (1437544962440).

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

1045101512440 is a wasteful number, since it uses less digits than its factorization.

1045101512440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26069 (or 26046 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 1045101512440 its reverse (442151015401), we get a palindrome (1487252527841).

The spelling of 1045101512440 in words is "one trillion, forty-five billion, one hundred one million, five hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1444 1805 2888 3167 3610 6334 7220 12668 14440 15835 22853 25336 31670 45706 60173 63340 91412 114265 120346 126680 182824 228530 240692 300865 434207 457060 481384 601730 868414 914120 1143287 1203460 1736828 2171035 2286574 2406920 3473656 4342070 4573148 5716435 8249933 8684140 9146296 11432870 16499866 17368280 22865740 32999732 41249665 45731480 65999464 72375451 82499330 144750902 164998660 289501804 329997320 361877255 579003608 723754510 1375133569 1447509020 2750267138 2895018040 5500534276 6875667845 11001068552 13751335690 26127537811 27502671380 52255075622 55005342760 104510151244 130637689055 209020302488 261275378110 522550756220 1045101512440