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14001388352832 = 263436412645717
BaseRepresentation
bin1100101110111111001111…
…0001110111010101000000
31211120112000211100120210210
43023233303301313111000
53313344320404242312
645440052104154120
72643365312223336
oct313576361672500
954515024316723
1014001388352832
114508a56789721
1216a1690768940
137a742c7851ba
143659569cbb56
1519431cc41e3c
hexcbbf3c77540

14001388352832 has 112 divisors (see below), whose sum is σ = 37966010968512. Its totient is φ = 4551478149120.

The previous prime is 14001388352827. The next prime is 14001388352839. The reversal of 14001388352832 is 23825388310041.

It is a super-2 number, since 2×140013883528322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001388352839) 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, 3969238 + ... + 6614954.

Almost surely, 214001388352832 is an apocalyptic number.

14001388352832 is a gapful number since it is divisible by the number (12) 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 14001388352832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18983005484256).

14001388352832 is an abundant number, since it is smaller than the sum of its proper divisors (23964622615680).

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

14001388352832 is a wasteful number, since it uses less digits than its factorization.

14001388352832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646416 (or 2646406 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 14001388352832 in words is "fourteen trillion, one billion, three hundred eighty-eight million, three hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 641 688 1032 1282 1376 1923 2064 2564 2752 3846 4128 5128 7692 8256 10256 15384 20512 27563 30768 41024 55126 61536 82689 110252 123072 165378 220504 330756 441008 661512 882016 1323024 1764032 2645717 2646048 5291434 5292096 7937151 10582868 15874302 21165736 31748604 42331472 63497208 84662944 113765831 126994416 169325888 227531662 253988832 341297493 455063324 507977664 682594986 910126648 1365189972 1695904597 1820253296 2730379944 3391809194 3640506592 5087713791 5460759888 6783618388 7281013184 10175427582 10921519776 13567236776 20350855164 21843039552 27134473552 40701710328 54268947104 72923897671 81403420656 108537894208 145847795342 162806841312 218771693013 291695590684 325613682624 437543386026 583391181368 875086772052 1166782362736 1750173544104 2333564725472 3500347088208 4667129450944 7000694176416 14001388352832