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31003441040 = 24511133597549
BaseRepresentation
bin11100110111111100…
…101111011110010000
32222000200102222201002
4130313330233132100
51001443340103130
622124235201132
72145202620635
oct346774573620
988020388632
1031003441040
111216a6a8150
126012ba61a8
132c012385b0
14170181018c
15c16c89b45
hex737f2f790

31003441040 has 160 divisors (see below), whose sum is σ = 84932064000. Its totient is φ = 10376386560.

The previous prime is 31003441039. The next prime is 31003441057. The reversal of 31003441040 is 4014430013.

It is a happy number.

It is a super-2 number, since 2×310034410402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4103186 + ... + 4110734.

It is an arithmetic number, because the mean of its divisors is an integer number (530825400).

Almost surely, 231003441040 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 31003441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42466032000).

31003441040 is an abundant number, since it is smaller than the sum of its proper divisors (53928622960).

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

31003441040 is a wasteful number, since it uses less digits than its factorization.

31003441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7945 (or 7939 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31003441040 its reverse (4014430013), we get a palindrome (35017871053).

The spelling of 31003441040 in words is "thirty-one billion, three million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 359 440 520 572 715 718 880 1040 1144 1430 1436 1795 2288 2860 2872 3590 3949 4667 5720 5744 7180 7549 7898 9334 11440 14360 15098 15796 18668 19745 23335 28720 30196 31592 37336 37745 39490 46670 51337 60392 63184 74672 75490 78980 83039 93340 98137 102674 120784 150980 157960 166078 186680 196274 205348 256685 301960 315920 332156 373360 392548 410696 415195 490685 513370 603920 664312 785096 821392 830390 981370 1026740 1079507 1328624 1570192 1660780 1962740 2053480 2159014 2710091 3321560 3925480 4106960 4318028 5397535 5420182 6643120 7850960 8636056 10795070 10840364 13550455 17272112 21590140 21680728 27100910 29811001 35231183 43180280 43361456 54201820 59622002 70462366 86360560 108403640 119244004 140924732 149055005 176155915 216807280 238488008 281849464 298110010 352311830 387543013 476976016 563698928 596220020 704623660 775086026 1192440040 1409247320 1550172052 1937715065 2384880080 2818494640 3100344104 3875430130 6200688208 7750860260 15501720520 31003441040