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114045227720 = 23541449154877
BaseRepresentation
bin110101000110110100…
…0000001001011001000
3101220101000012211120222
41222031220001023020
53332031034241340
6124220333005212
711145101304164
oct1521550011310
9356330184528
10114045227720
1144403615616
121a129623808
13a9a65c5788
14573c54bca4
152e773038b5
hex1a8da012c8

114045227720 has 64 divisors (see below), whose sum is σ = 263447478000. Its totient is φ = 44406046720.

The previous prime is 114045227669. The next prime is 114045227773. The reversal of 114045227720 is 27722540411.

114045227720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 37257492484 + 76787735236 = 193022^2 + 277106^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658922 + ... + 813798.

Almost surely, 2114045227720 is an apocalyptic number.

114045227720 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 114045227720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131723739000).

114045227720 is an abundant number, since it is smaller than the sum of its proper divisors (149402250280).

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

114045227720 is a wasteful number, since it uses less digits than its factorization.

114045227720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155378 (or 155374 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The spelling of 114045227720 in words is "one hundred fourteen billion, forty-five million, two hundred twenty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 449 820 898 1640 1796 2245 3592 4490 8980 17960 18409 36818 73636 92045 147272 154877 184090 309754 368180 619508 736360 774385 1239016 1548770 3097540 6195080 6349957 12699914 25399828 31749785 50799656 63499570 69539773 126999140 139079546 253998280 278159092 347698865 556318184 695397730 1390795460 2781590920 2851130693 5702261386 11404522772 14255653465 22809045544 28511306930 57022613860 114045227720