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116135555440 = 24531241119423
BaseRepresentation
bin110110000101000110…
…1111111000101110000
3102002202200112111011011
41230022031333011300
53400321200233230
6125204004000304
711250642635122
oct1541215770560
9362680474134
10116135555440
1145286547793
121a611690094
13ac4a6a7c98
145899ddb212
15304aaa9e2a
hex1b0a37f170

116135555440 has 80 divisors (see below), whose sum is σ = 278855294976. Its totient is φ = 44934739200.

The previous prime is 116135555429. The next prime is 116135555477. The reversal of 116135555440 is 44555531611.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 116135555393 and 116135555402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5969569 + ... + 5988991.

Almost surely, 2116135555440 is an apocalyptic number.

116135555440 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 116135555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139427647488).

116135555440 is an abundant number, since it is smaller than the sum of its proper divisors (162719739536).

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

116135555440 is a wasteful number, since it uses less digits than its factorization.

116135555440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21878 (or 21872 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 116135555440 in words is "one hundred sixteen billion, one hundred thirty-five million, five hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2411 2480 4822 9644 12055 19288 19423 24110 38576 38846 48220 74741 77692 96440 97115 149482 155384 192880 194230 298964 310768 373705 388460 597928 602113 747410 776920 1195856 1204226 1494820 1553840 2408452 2989640 3010565 4816904 5979280 6021130 9633808 12042260 24084520 46828853 48169040 93657706 187315412 234144265 374630824 468288530 749261648 936577060 1451694443 1873154120 2903388886 3746308240 5806777772 7258472215 11613555544 14516944430 23227111088 29033888860 58067777720 116135555440