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14135352550242 = 23721113133365323
BaseRepresentation
bin1100110110110010010010…
…1010101110001101100010
31212001022211000121220221220
43031230210222232031202
53323043200223101432
650021405153555510
72656150133140500
oct315544452561542
955038730556856
1014135352550242
11455a851008a60
121703638b75b96
137b6c5ba24271
1436c22476b670
15197a5db0772c
hexcdb24aae362

14135352550242 has 96 divisors (see below), whose sum is σ = 36149860479744. Its totient is φ = 3643493162400.

The previous prime is 14135352550181. The next prime is 14135352550273. The reversal of 14135352550242 is 24205525353141.

14135352550242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14135352550194 and 14135352550203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16259008 + ... + 17106315.

It is an arithmetic number, because the mean of its divisors is an integer number (376561046664).

Almost surely, 214135352550242 is an apocalyptic number.

14135352550242 is an abundant number, since it is smaller than the sum of its proper divisors (22014507929502).

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

14135352550242 is a wasteful number, since it uses less digits than its factorization.

14135352550242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33365484 (or 33365477 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 14135352550242 in words is "fourteen trillion, one hundred thirty-five billion, three hundred fifty-two million, five hundred fifty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 131 147 154 231 262 294 393 462 539 786 917 1078 1441 1617 1834 2751 2882 3234 4323 5502 6419 8646 10087 12838 19257 20174 30261 38514 60522 70609 141218 211827 423654 33365323 66730646 100095969 200191938 233557261 367018553 467114522 700671783 734037106 1101055659 1401343566 1634900827 2202111318 2569129871 3269801654 4370857313 4904702481 5138259742 7707389613 8741714626 9809404962 13112571939 15414779226 17983909097 26225143878 30596001191 35967818194 48079430443 53951727291 61192002382 91788003573 96158860886 107903454582 144238291329 183576007146 214172008337 288476582658 336556013101 428344016674 642516025011 673112026202 1009668039303 1285032050022 2019336078606 2355892091707 4711784183414 7067676275121 14135352550242