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14140401311240 = 2351961937398039
BaseRepresentation
bin1100110111000101000110…
…0110001101111000001000
31212001210211212202120000222
43031301101212031320020
53323134020213424430
650024002150245212
72656416216662351
oct315612146157010
955053755676028
1014140401311240
114561a0199a906
121704607956808
137b75849c62c9
1436c5830c2d28
15197c56e919e5
hexcdc5198de08

14140401311240 has 128 divisors (see below), whose sum is σ = 33557673600000. Its totient is φ = 5347715095296.

The previous prime is 14140401311233. The next prime is 14140401311263. The reversal of 14140401311240 is 4211310404141.

It is a happy number.

It is a super-2 number, since 2×141404013112402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1758971141 + ... + 1758979179.

It is an arithmetic number, because the mean of its divisors is an integer number (262169325000).

Almost surely, 214140401311240 is an apocalyptic number.

14140401311240 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 14140401311240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16778836800000).

14140401311240 is an abundant number, since it is smaller than the sum of its proper divisors (19417272288760).

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

14140401311240 is a wasteful number, since it uses less digits than its factorization.

14140401311240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12427 (or 12423 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 14140401311240 its reverse (4211310404141), we get a palindrome (18351711715381).

The spelling of 14140401311240 in words is "fourteen trillion, one hundred forty billion, four hundred one million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 619 760 1238 2476 3095 3739 4952 6190 7478 8039 11761 12380 14956 16078 18695 23522 24760 29912 32156 37390 40195 47044 58805 64312 71041 74780 80390 94088 117610 142082 149560 152741 160780 235220 284164 305482 321560 355205 470440 568328 610964 710410 763705 1221928 1420820 1527410 2314441 2841640 3054820 4628882 4976141 6109640 9257764 9952282 11572205 18515528 19904564 23144410 24880705 30057821 39809128 43974379 46288820 49761410 60115642 87948758 92577640 94546679 99522820 120231284 150289105 175897516 189093358 199045640 219871895 240462568 300578210 351795032 378186716 439743790 472733395 571098599 601156420 756373432 879487580 945466790 1142197198 1202312840 1758975160 1890933580 2284394396 2855492995 3781867160 4568788792 5710985990 11421971980 18605791199 22843943960 37211582398 74423164796 93028955995 148846329592 186057911990 353510032781 372115823980 707020065562 744231647960 1414040131124 1767550163905 2828080262248 3535100327810 7070200655620 14140401311240