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14753019440 = 2456723311813
BaseRepresentation
bin11011011110101100…
…10011011000110000
31102002011102001001102
431233112103120300
5220203233110230
610435532223532
71031410411325
oct155726233060
942064361042
1014753019440
116290770955
122a3890aba8
131511622b03
149dd4d2b4c
155b52ca045
hex36f593630

14753019440 has 80 divisors (see below), whose sum is σ = 34965092448. Its totient is φ = 5787691008.

The previous prime is 14753019427. The next prime is 14753019451. The reversal of 14753019440 is 4491035741.

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

It is a super-4 number, since 4×147530194404 (a number of 42 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14753019394 and 14753019403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1242974 + ... + 1254786.

Almost surely, 214753019440 is an apocalyptic number.

14753019440 is a gapful number since it is divisible by the number (10) 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 14753019440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17482546224).

14753019440 is an abundant number, since it is smaller than the sum of its proper divisors (20212073008).

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

14753019440 is a wasteful number, since it uses less digits than its factorization.

14753019440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12126 (or 12120 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 14753019440 in words is "fourteen billion, seven hundred fifty-three million, nineteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 233 268 335 466 536 670 932 1072 1165 1340 1864 2330 2680 3728 4660 5360 9320 11813 15611 18640 23626 31222 47252 59065 62444 78055 94504 118130 124888 156110 189008 236260 249776 312220 472520 624440 791471 945040 1248880 1582942 2752429 3165884 3957355 5504858 6331768 7914710 11009716 12663536 13762145 15829420 22019432 27524290 31658840 44038864 55048580 63317680 110097160 184412743 220194320 368825486 737650972 922063715 1475301944 1844127430 2950603888 3688254860 7376509720 14753019440