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114553124440 = 23547521116953
BaseRepresentation
bin110101010101111100…
…1011111011001011000
3101221200101220122220121
41222223321133121120
53334101044440230
6124342555003024
711163506330506
oct1525371373130
9357611818817
10114553124440
1144644285977
121a24b739474
13aa578b3c91
145789b9b676
152ea6bcb77a
hex1aabe5f658

114553124440 has 64 divisors (see below), whose sum is σ = 263735948160. Its totient is φ = 44759869440.

The previous prime is 114553124437. The next prime is 114553124533. The reversal of 114553124440 is 44421355411.

It is a happy number.

It is a super-2 number, since 2×1145531244402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114553124396 and 114553124405.

It is a congruent number.

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, 921004 + ... + 1037956.

It is an arithmetic number, because the mean of its divisors is an integer number (4120874190).

Almost surely, 2114553124440 is an apocalyptic number.

114553124440 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 114553124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131867974080).

114553124440 is an abundant number, since it is smaller than the sum of its proper divisors (149182823720).

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

114553124440 is a wasteful number, since it uses less digits than its factorization.

114553124440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117532 (or 117528 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 114553124440 its reverse (44421355411), we get a palindrome (158974479851).

The spelling of 114553124440 in words is "one hundred fourteen billion, five hundred fifty-three million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 521 940 1042 1880 2084 2605 4168 5210 10420 20840 24487 48974 97948 116953 122435 195896 233906 244870 467812 489740 584765 935624 979480 1169530 2339060 4678120 5496791 10993582 21987164 27483955 43974328 54967910 60932513 109935820 121865026 219871640 243730052 304662565 487460104 609325130 1218650260 2437300520 2863828111 5727656222 11455312444 14319140555 22910624888 28638281110 57276562220 114553124440