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20312440000 = 26543116381
BaseRepresentation
bin10010111010101101…
…110011110011000000
31221102121102212100121
4102322231303303000
5313044441040000
613155330030024
71316234614456
oct227255636300
957377385317
1020312440000
11868392a8a6
123b2a718314
131bb933ca88
14da99b69d6
157dd3d5b1a
hex4bab73cc0

20312440000 has 140 divisors (see below), whose sum is σ = 51996205888. Its totient is φ = 7862400000.

The previous prime is 20312439989. The next prime is 20312440003. The reversal of 20312440000 is 4421302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20312440003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1231810 + ... + 1248190.

Almost surely, 220312440000 is an apocalyptic number.

20312440000 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 20312440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25998102944).

20312440000 is an abundant number, since it is smaller than the sum of its proper divisors (31683765888).

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

20312440000 is an equidigital number, since it uses as much as digits as its factorization.

20312440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16444 (or 16419 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20312440000 its reverse (4421302), we get a palindrome (20316861302).

The spelling of 20312440000 in words is "twenty billion, three hundred twelve million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 155 160 200 248 250 310 320 400 496 500 620 625 775 800 992 1000 1240 1250 1550 1600 1984 2000 2480 2500 3100 3875 4000 4960 5000 6200 7750 8000 9920 10000 12400 15500 16381 19375 20000 24800 31000 32762 38750 40000 49600 62000 65524 77500 81905 124000 131048 155000 163810 248000 262096 310000 327620 409525 507811 524192 620000 655240 819050 1015622 1048384 1240000 1310480 1638100 2031244 2047625 2539055 2620960 3276200 4062488 4095250 5078110 5241920 6552400 8124976 8190500 10156220 10238125 12695275 13104800 16249952 16381000 20312440 20476250 25390550 26209600 32499904 32762000 40624880 40952500 50781100 63476375 65524000 81249760 81905000 101562200 126952750 131048000 162499520 163810000 203124400 253905500 317381875 327620000 406248800 507811000 634763750 655240000 812497600 1015622000 1269527500 2031244000 2539055000 4062488000 5078110000 10156220000 20312440000