Search a number
-
+
14135723347968 = 21233127818679
BaseRepresentation
bin1100110110110011101011…
…0001001101000000000000
31212001100202212100101211000
43031230322301031000000
53323044430134113333
650021510041252000
72656162254645435
oct315547261150000
955040685311730
1014135723347968
11455aa21348862
121703721194000
137b6cba7ac9c1
1436c25bacdb8c
15197a8144d713
hexcdb3ac4d000

14135723347968 has 104 divisors (see below), whose sum is σ = 41878512315200. Its totient is φ = 4711907745792.

The previous prime is 14135723347901. The next prime is 14135723347981. The reversal of 14135723347968 is 86974332753141.

14135723347968 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 5 + 72 + 33 + 479 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63798748 + ... + 64019931.

Almost surely, 214135723347968 is an apocalyptic number.

14135723347968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14135723347968 is an abundant number, since it is smaller than the sum of its proper divisors (27742788967232).

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

14135723347968 is an equidigital number, since it uses as much as digits as its factorization.

14135723347968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127818712 (or 127818684 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 14135723347968 in words is "fourteen trillion, one hundred thirty-five billion, seven hundred twenty-three million, three hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 9216 12288 13824 18432 27648 36864 55296 110592 127818679 255637358 383456037 511274716 766912074 1022549432 1150368111 1533824148 2045098864 2300736222 3067648296 3451104333 4090197728 4601472444 6135296592 6902208666 8180395456 9202944888 12270593184 13804417332 16360790912 18405889776 24541186368 27608834664 32721581824 36811779552 49082372736 55217669328 65443163648 73623559104 98164745472 110435338656 130886327296 147247118208 196329490944 220870677312 261772654592 294494236416 392658981888 441741354624 523545309184 588988472832 785317963776 883482709248 1177976945664 1570635927552 1766965418496 2355953891328 3533930836992 4711907782656 7067861673984 14135723347968