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245162242040 = 23553787146941
BaseRepresentation
bin1110010001010011001…
…1101110111111111000
3212102210210000021210112
43210110303232333320
513004043013221130
6304343113403452
723466230450102
oct3442463567770
9772723007715
10245162242040
1194a77770081
123b620409588
131a170a27411
14bc1a104572
15659d25e495
hex3914ceeff8

245162242040 has 64 divisors (see below), whose sum is σ = 562740838560. Its totient is φ = 96091706880.

The previous prime is 245162242033. The next prime is 245162242109. The reversal of 245162242040 is 40242261542.

245162242040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 245162241988 and 245162242006.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1594970 + ... + 1741910.

Almost surely, 2245162242040 is an apocalyptic number.

245162242040 is a gapful number since it is divisible by the number (20) 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 245162242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281370419280).

245162242040 is an abundant number, since it is smaller than the sum of its proper divisors (317578596520).

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

245162242040 is a wasteful number, since it uses less digits than its factorization.

245162242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147792 (or 147788 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 245162242040 in words is "two hundred forty-five billion, one hundred sixty-two million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 787 1060 1574 2120 3148 3935 6296 7870 15740 31480 41711 83422 146941 166844 208555 293882 333688 417110 587764 734705 834220 1175528 1469410 1668440 2938820 5877640 7787873 15575746 31151492 38939365 62302984 77878730 115642567 155757460 231285134 311514920 462570268 578212835 925140536 1156425670 2312851340 4625702680 6129056051 12258112102 24516224204 30645280255 49032448408 61290560510 122581121020 245162242040