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31411250000 = 2457131933
BaseRepresentation
bin11101010000010000…
…011010001101010000
310000002002210211102122
4131100100122031100
51003312240000000
622232524033412
72161254135224
oct352020321520
9100062724378
1031411250000
1112359917049
126107692868
132c67882380
14173da48784
15c3c992085
hex75041a350

31411250000 has 160 divisors (see below), whose sum is σ = 81968149536. Its totient is φ = 11592000000.

The previous prime is 31411249997. The next prime is 31411250023. The reversal of 31411250000 is 5211413.

It can be written as a sum of positive squares in 16 ways, for example, as 9395812624 + 22015437376 = 96932^2 + 148376^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16249034 + ... + 16250966.

Almost surely, 231411250000 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 31411250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40984074768).

31411250000 is an abundant number, since it is smaller than the sum of its proper divisors (50556899536).

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

31411250000 is an frugal number, since it uses more digits than its factorization.

31411250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 31411250000 its reverse (5211413), we get a palindrome (31416461413).

The spelling of 31411250000 in words is "thirty-one billion, four hundred eleven million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 1933 2000 2500 2600 3125 3250 3866 5000 5200 6250 6500 7732 8125 9665 10000 12500 13000 15464 15625 16250 19330 25000 25129 26000 30928 31250 32500 38660 40625 48325 50000 50258 62500 65000 77320 78125 81250 96650 100516 125000 125645 130000 154640 156250 162500 193300 201032 203125 241625 250000 251290 312500 325000 386600 402064 406250 483250 502580 625000 628225 650000 773200 812500 966500 1005160 1015625 1208125 1250000 1256450 1625000 1933000 2010320 2031250 2416250 2512900 3141125 3250000 3866000 4062500 4832500 5025800 6040625 6282250 8125000 9665000 10051600 12081250 12564500 15705625 16250000 19330000 24162500 25129000 30203125 31411250 48325000 50258000 60406250 62822500 78528125 96650000 120812500 125645000 151015625 157056250 241625000 251290000 302031250 314112500 392640625 483250000 604062500 628225000 785281250 1208125000 1256450000 1570562500 1963203125 2416250000 3141125000 3926406250 6282250000 7852812500 15705625000 31411250000