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40013322242140 = 225131491459707929
BaseRepresentation
bin10010001100100010100111…
…10110111100100001011100
312020200020101020002000220001
421012101103312330201130
520221034240443222030
6221033511054104044
711266603266165562
oct1106212366744134
9166606336060801
1040013322242140
1111827611295845
1245a2a247ab024
131943317654090
149c4925967a32
15495c895c2cca
hex246453dbc85c

40013322242140 has 96 divisors (see below), whose sum is σ = 91161561960000. Its totient is φ = 14664915412992.

The previous prime is 40013322242083. The next prime is 40013322242143. The reversal of 40013322242140 is 4124222331004.

It is a junction number, because it is equal to n+sod(n) for n = 40013322242099 and 40013322242108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40013322242143) 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, 56167696 + ... + 56875624.

It is an arithmetic number, because the mean of its divisors is an integer number (949599603750).

Almost surely, 240013322242140 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 40013322242140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45580780980000).

40013322242140 is an abundant number, since it is smaller than the sum of its proper divisors (51148239717860).

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

40013322242140 is a wasteful number, since it uses less digits than its factorization.

40013322242140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709559 (or 709557 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 40013322242140 its reverse (4124222331004), we get a palindrome (44137544573144).

The spelling of 40013322242140 in words is "forty trillion, thirteen billion, three hundred twenty-two million, two hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 260 298 596 745 1459 1490 1937 2918 2980 3874 5836 7295 7748 9685 14590 18967 19370 29180 37934 38740 75868 94835 189670 217391 379340 434782 707929 869564 1086955 1415858 2173910 2826083 2831716 3539645 4347820 5652166 7079290 9203077 11304332 14130415 14158580 18406154 28260830 36812308 46015385 56521660 92030770 105481421 184061540 210962842 421925684 527407105 1032868411 1054814210 1371258473 2065736822 2109628420 2742516946 4131473644 5164342055 5485033892 6856292365 10328684110 13427289343 13712584730 20657368220 26854578686 27425169460 53709157372 67136446715 134272893430 153897393239 268545786860 307794786478 615589572956 769486966195 1538973932390 2000666112107 3077947864780 4001332224214 8002664448428 10003330560535 20006661121070 40013322242140