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20311302440 = 23511133795971
BaseRepresentation
bin10010111010101001…
…011110000100101000
31221102112022001220202
4102322221132010220
5313044143134230
613155245411332
71316222136122
oct227251360450
957375261822
1020311302440
118683223170
123b2a269b48
131bb9032070
14da979c212
157dd25da45
hex4baa5e128

20311302440 has 128 divisors (see below), whose sum is σ = 55141672320. Its totient is φ = 6633446400.

The previous prime is 20311302439. The next prime is 20311302457. The reversal of 20311302440 is 4420311302.

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, 163655 + ... + 259625.

It is an arithmetic number, because the mean of its divisors is an integer number (430794315).

Almost surely, 220311302440 is an apocalyptic number.

20311302440 is a gapful number since it is divisible by the number (20) 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 20311302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27570836160).

20311302440 is an abundant number, since it is smaller than the sum of its proper divisors (34830369880).

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

20311302440 is a wasteful number, since it uses less digits than its factorization.

20311302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96043 (or 96039 counting only the distinct ones).

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

Adding to 20311302440 its reverse (4420311302), we get a palindrome (24731613742).

The spelling of 20311302440 in words is "twenty billion, three hundred eleven million, three hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 37 40 44 52 55 65 74 88 104 110 130 143 148 185 220 260 286 296 370 407 440 481 520 572 715 740 814 962 1144 1430 1480 1628 1924 2035 2405 2860 3256 3848 4070 4810 5291 5720 8140 9620 10582 16280 19240 21164 26455 42328 52910 95971 105820 191942 211640 383884 479855 767768 959710 1055681 1247623 1919420 2111362 2495246 3550927 3838840 4222724 4990492 5278405 6238115 7101854 8445448 9980984 10556810 12476230 13723853 14203708 17754635 21113620 24952460 27447706 28407416 35509270 39060197 42227240 46162051 49904920 54895412 68619265 71018540 78120394 92324102 109790824 137238530 142037080 156240788 184648204 195300985 230810255 274477060 312481576 369296408 390601970 461620510 507782561 548954120 781203940 923241020 1015565122 1562407880 1846482040 2031130244 2538912805 4062260488 5077825610 10155651220 20311302440