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4240073088 = 27331772169
BaseRepresentation
bin1111110010111010…
…0110000110000000
3101221111110000211000
43330232212012000
532140424314323
61540423252000
7210034012056
oct37456460600
911844400730
104240073088
111886457739
129a3baa000
135275998b4
142c31a81d6
1519c397e43
hexfcba6180

4240073088 has 128 divisors (see below), whose sum is σ = 13250412000. Its totient is φ = 1330200576.

The previous prime is 4240073083. The next prime is 4240073099. The reversal of 4240073088 is 8803700424.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240073083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22668 + ... + 94836.

Almost surely, 24240073088 is an apocalyptic number.

4240073088 is a gapful number since it is divisible by the number (48) 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 4240073088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625206000).

4240073088 is an abundant number, since it is smaller than the sum of its proper divisors (9010338912).

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

4240073088 is a wasteful number, since it uses less digits than its factorization.

4240073088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72209 (or 72191 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4240073088 is about 65115.8436019990. The cubic root of 4240073088 is about 1618.5437668164.

The spelling of 4240073088 in words is "four billion, two hundred forty million, seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 14688 19584 29376 58752 72169 144338 216507 288676 433014 577352 649521 866028 1154704 1226873 1299042 1732056 1948563 2309408 2453746 2598084 3464112 3680619 3897126 4618816 4907492 5196168 6928224 7361238 7794252 9237632 9814984 10392336 11041857 13856448 14722476 15588504 19629968 20784672 22083714 27712896 29444952 31177008 33125571 39259936 41569344 44167428 58889904 62354016 66251142 78519872 83138688 88334856 117779808 124708032 132502284 157039744 176669712 235559616 249416064 265004568 353339424 471119232 530009136 706678848 1060018272 1413357696 2120036544 4240073088