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23457984240 = 2435142368687
BaseRepresentation
bin10101110110001101…
…000110111011110000
32020112211100001212010
4111312031012323300
5341020220443430
614435414002520
71460211401415
oct256615067360
966484301763
1023457984240
119a48469839
124668046440
13229ac23062
1411c766810c
15924628cb0
hex576346ef0

23457984240 has 80 divisors (see below), whose sum is σ = 72771913728. Its totient is φ = 6250975488.

The previous prime is 23457984197. The next prime is 23457984247. The reversal of 23457984240 is 4248975432.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23457984240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23457984247) by changing a digit.

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, 307177 + ... + 375863.

Almost surely, 223457984240 is an apocalyptic number.

23457984240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23457984240 is an abundant number, since it is smaller than the sum of its proper divisors (49313929488).

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

23457984240 is a wasteful number, since it uses less digits than its factorization.

23457984240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70126 (or 70120 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 23457984240 in words is "twenty-three billion, four hundred fifty-seven million, nine hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1423 2846 4269 5692 7115 8538 11384 14230 17076 21345 22768 28460 34152 42690 56920 68304 68687 85380 113840 137374 170760 206061 274748 341520 343435 412122 549496 686870 824244 1030305 1098992 1373740 1648488 2060610 2747480 3296976 4121220 5494960 8242440 16484880 97741601 195483202 293224803 390966404 488708005 586449606 781932808 977416010 1172899212 1466124015 1563865616 1954832020 2345798424 2932248030 3909664040 4691596848 5864496060 7819328080 11728992120 23457984240