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31012141440 = 273572307451
BaseRepresentation
bin11100111000011101…
…111011100110000000
32222001021211000102010
4130320131323212000
51002003102011230
622125145452520
72145336565350
oct347035734600
988037730363
1031012141440
11121745aa965
126015aa1140
132c02c93767
141702a36b60
15c179079b0
hex73877b980

31012141440 has 128 divisors (see below), whose sum is σ = 112972849920. Its totient is φ = 7088486400.

The previous prime is 31012141439. The next prime is 31012141441. The reversal of 31012141440 is 4414121013.

It is an interprime number because it is at equal distance from previous prime (31012141439) and next prime (31012141441).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31012141441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1140286 + ... + 1167165.

It is an arithmetic number, because the mean of its divisors is an integer number (882600390).

Almost surely, 231012141440 is an apocalyptic number.

31012141440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31012141440 is an abundant number, since it is smaller than the sum of its proper divisors (81960708480).

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

31012141440 is a wasteful number, since it uses less digits than its factorization.

31012141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307480 (or 2307468 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 31012141440 its reverse (4414121013), we get a palindrome (35426262453).

The spelling of 31012141440 in words is "thirty-one billion, twelve million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 2307451 4614902 6922353 9229804 11537255 13844706 16152157 18459608 23074510 27689412 32304314 34611765 36919216 46149020 48456471 55378824 64608628 69223530 73838432 80760785 92298040 96912942 110757648 129217256 138447060 147676864 161521570 184596080 193825884 221515296 242282355 258434512 276894120 295353728 323043140 369192160 387651768 443030592 484564710 516869024 553788240 646086280 738384320 775303536 886061184 969129420 1033738048 1107576480 1292172560 1476768640 1550607072 1938258840 2067476096 2215152960 2584345120 3101214144 3876517680 4430305920 5168690240 6202428288 7753035360 10337380480 15506070720 31012141440