Search a number
-
+
17238269040 = 2435131548291
BaseRepresentation
bin10000000011011110…
…110001110001110000
31122111100211210120220
4100003132301301300
5240300444102130
611530311533040
71150115604066
oct200336616160
948440753526
1017238269040
11734660a743
12341108a180
1318194893c5
14b975c4036
156ad590410
hex4037b1c70

17238269040 has 80 divisors (see below), whose sum is σ = 53846660736. Its totient is φ = 4561772800.

The previous prime is 17238269033. The next prime is 17238269047. The reversal of 17238269040 is 4096283271.

It is an interprime number because it is at equal distance from previous prime (17238269033) and next prime (17238269047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 17238268983 and 17238269001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17238269047) 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, 242706 + ... + 305585.

Almost surely, 217238269040 is an apocalyptic number.

17238269040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17238269040 is an abundant number, since it is smaller than the sum of its proper divisors (36608391696).

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

17238269040 is a wasteful number, since it uses less digits than its factorization.

17238269040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548438 (or 548432 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 17238269040 in words is "seventeen billion, two hundred thirty-eight million, two hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 5240 6288 7860 10480 15720 31440 548291 1096582 1644873 2193164 2741455 3289746 4386328 5482910 6579492 8224365 8772656 10965820 13158984 16448730 21931640 26317968 32897460 43863280 65794920 71826121 131589840 143652242 215478363 287304484 359130605 430956726 574608968 718261210 861913452 1077391815 1149217936 1436522420 1723826904 2154783630 2873044840 3447653808 4309567260 5746089680 8619134520 17238269040