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14000134231100 = 22527319119995023
BaseRepresentation
bin1100101110111010100100…
…0001110001010000111100
31211120101210102111121012202
43023232221001301100330
53313334233330343400
645435323424051032
72643322243322633
oct313565101612074
954511712447182
1014000134231100
114508472877486
1216a13a0763a78
137a728c9c1534
1436587821051a
15194297ab54d5
hexcbba907143c

14000134231100 has 144 divisors (see below), whose sum is σ = 30979350528000. Its totient is φ = 5490580723200.

The previous prime is 14000134231093. The next prime is 14000134231103. The reversal of 14000134231100 is 113243100041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14000134231103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2787203189 + ... + 2787208211.

Almost surely, 214000134231100 is an apocalyptic number.

14000134231100 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 14000134231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15489675264000).

14000134231100 is an abundant number, since it is smaller than the sum of its proper divisors (16979216296900).

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

14000134231100 is a wasteful number, since it uses less digits than its factorization.

14000134231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7300 (or 7293 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14000134231100 its reverse (113243100041), we get a palindrome (14113377331141).

The spelling of 14000134231100 in words is "fourteen trillion, one hundred thirty-four million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 191 292 365 382 730 764 955 1460 1825 1910 1999 3650 3820 3998 4775 5023 7300 7996 9550 9995 10046 13943 19100 19990 20092 25115 27886 39980 49975 50230 55772 69715 99950 100460 125575 139430 145927 199900 251150 278860 291854 348575 366679 381809 502300 583708 697150 729635 733358 763618 959393 1394300 1459270 1466716 1527236 1833395 1909045 1918786 2918540 3648175 3666790 3818090 3837572 4796965 7296350 7333580 7636180 9166975 9545225 9593930 10040977 14592700 18333950 19090450 19187860 20081954 23984825 27872057 36667900 38180900 40163908 47969650 50204885 55744114 70035689 95939300 100409770 111488228 139360285 140071378 200819540 251024425 278720570 280142756 350178445 502048850 557441140 696801425 700356890 732991321 1004097700 1393602850 1400713780 1465982642 1750892225 1917826607 2787205700 2931965284 3501784450 3664956605 3835653214 7003568900 7329913210 7671306428 9589133035 14659826420 18324783025 19178266070 36649566050 38356532140 47945665175 73299132100 95891330350 140001342311 191782660700 280002684622 560005369244 700006711555 1400013423110 2800026846220 3500033557775 7000067115550 14000134231100