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114544220535400 = 23523784431833347
BaseRepresentation
bin11010000010110101100111…
…100100110111101001101000
3120000120022122200012010221011
4122002311213210313221220
5110003143030424113100
61043340515524353304
733061355364663145
oct3202654744675150
9500508580163834
10114544220535400
1133551a2736aa87
1210a1b52b845834
134bbb6207b5c26
14203dd813d13cc
15d398585c1bba
hex682d67937a68

114544220535400 has 96 divisors (see below), whose sum is σ = 273545568347040. Its totient is φ = 44574067964160.

The previous prime is 114544220535341. The next prime is 114544220535403. The reversal of 114544220535400 is 4535022445411.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (114544220535403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61561527 + ... + 63394873.

It is an arithmetic number, because the mean of its divisors is an integer number (2849433003615).

Almost surely, 2114544220535400 is an apocalyptic number.

114544220535400 is a gapful number since it is divisible by the number (10) 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 114544220535400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136772784173520).

114544220535400 is an abundant number, since it is smaller than the sum of its proper divisors (159001347811640).

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

114544220535400 is a wasteful number, since it uses less digits than its factorization.

114544220535400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841843 (or 1841834 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 114544220535400 in words is "one hundred fourteen trillion, five hundred forty-four billion, two hundred twenty million, five hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 8443 16886 33772 42215 67544 84430 168860 211075 312391 337720 422150 624782 844300 1249564 1561955 1688600 1833347 2499128 3123910 3666694 6247820 7333388 7809775 9166735 12495640 14666776 15619550 18333470 31239100 36666940 45833675 62478200 67833839 73333880 91667350 135667678 183334700 271335356 339169195 366669400 542670712 678338390 1356676780 1695845975 2713353560 3391691950 6783383900 13566767800 15478948721 30957897442 61915794884 77394743605 123831589768 154789487210 309578974420 386973718025 572721102677 619157948840 773947436050 1145442205354 1547894872100 2290884410708 2863605513385 3095789744200 4581768821416 5727211026770 11454422053540 14318027566925 22908844107080 28636055133850 57272110267700 114544220535400