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117440442 = 236737311
BaseRepresentation
bin1101111111111…
…11111110111010
322011222121000000
412333333332322
5220031043232
615353053430
72624140650
oct677777672
9264877000
10117440442
1160323819
12333b7276
131b43bbb2
1411850dd0
15a49c27c
hex6ffffba

117440442 has 112 divisors (see below), whose sum is σ = 311006592. Its totient is φ = 32542560.

The previous prime is 117440423. The next prime is 117440473. The reversal of 117440442 is 244044711.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 377467 + ... + 377777.

Almost surely, 2117440442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117440442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155503296).

117440442 is an abundant number, since it is smaller than the sum of its proper divisors (193566150).

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

117440442 is an equidigital number, since it uses as much as digits as its factorization.

117440442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 117440442 is about 10836.9941404432. The cubic root of 117440442 is about 489.7102854930.

It can be divided in two parts, 1174 and 40442, that added together give a triangular number (41616 = T288).

The spelling of 117440442 in words is "one hundred seventeen million, four hundred forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 111 126 162 189 222 243 259 311 333 378 486 518 567 622 666 729 777 933 999 1134 1458 1554 1701 1866 1998 2177 2331 2799 2997 3402 4354 4662 5103 5598 5994 6531 6993 8397 8991 10206 11507 13062 13986 16794 17982 19593 20979 23014 25191 26973 34521 39186 41958 50382 53946 58779 62937 69042 75573 80549 103563 117558 125874 151146 161098 176337 188811 207126 226719 241647 310689 352674 377622 453438 483294 529011 621378 724941 932067 1058022 1449882 1587033 1864134 2174823 2796201 3174066 4349646 5592402 6524469 8388603 13048938 16777206 19573407 39146814 58720221 117440442