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40110313213432 = 23711834457176017
BaseRepresentation
bin10010001111010111010001…
…11110001000110111111000
312021000111201200200212202001
421013223220332020313320
520224131410140312212
6221150231251150344
711306605644635620
oct1107535076106770
9167014650625661
1040110313213432
1111864763154060
1245b97928a53b4
13194c50393a857
149c94c7111880
15498564583657
hex247ae8f88df8

40110313213432 has 128 divisors (see below), whose sum is σ = 94915889994240. Its totient is φ = 15435561185280.

The previous prime is 40110313213417. The next prime is 40110313213447. The reversal of 40110313213432 is 23431231301104.

It is an interprime number because it is at equal distance from previous prime (40110313213417) and next prime (40110313213447).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 40110313213432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227789488 + ... + 227965504.

It is an arithmetic number, because the mean of its divisors is an integer number (741530390580).

Almost surely, 240110313213432 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 40110313213432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47457944997120).

40110313213432 is an abundant number, since it is smaller than the sum of its proper divisors (54805576780808).

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

40110313213432 is a wasteful number, since it uses less digits than its factorization.

40110313213432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180581 (or 180577 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 40110313213432 its reverse (23431231301104), we get a palindrome (63541544514536).

The spelling of 40110313213432 in words is "forty trillion, one hundred ten billion, three hundred thirteen million, two hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 83 88 154 166 308 332 581 616 664 913 1162 1826 2324 3652 4457 4648 6391 7304 8914 12782 17828 25564 31199 35656 49027 51128 62398 98054 124796 176017 196108 249592 343189 352034 369931 392216 686378 704068 739862 1232119 1372756 1408136 1479724 1936187 2464238 2589517 2745512 2959448 3872374 4069241 4928476 5179034 7744748 8138482 9856952 10358068 13553309 14609411 15489496 16276964 20716136 27106618 28484687 29218822 32553928 54213236 56969374 58437644 102265877 108426472 113938748 116875288 160703521 204531754 227877496 321407042 409063508 642814084 784507769 818127016 1124924647 1285628168 1569015538 2249849294 3138031076 4499698588 5491554383 6276062152 8629585459 8999397176 10983108766 17259170918 21966217532 34518341836 43932435064 60407098213 65114144827 69036683672 120814196426 130228289654 241628392852 260456579308 455799013789 483256785704 520913158616 716255593097 911598027578 1432511186194 1823196055156 2865022372388 3646392110312 5013789151679 5730044744776 10027578303358 20055156606716 40110313213432