Search a number
-
+
14122220431104 = 2834681048439
BaseRepresentation
bin1100110110000001010111…
…1011101010011100000000
31212000001220211020011010000
43031200111323222130000
53322334301412243404
650011354123040000
72655203534025042
oct315402573523400
955001824204100
1014122220431104
1145552222a4535
121700b93070000
137b5948174376
1436b73a64da92
15197540ca9339
hexcd815eea700

14122220431104 has 90 divisors (see below), whose sum is σ = 42109906093640. Its totient is φ = 4707406803456.

The previous prime is 14122220431091. The next prime is 14122220431139. The reversal of 14122220431104 is 40113402222141.

14122220431104 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 2 + 220 + 431 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×141222204311042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 340503484 + ... + 340544955.

Almost surely, 214122220431104 is an apocalyptic number.

It is an amenable number.

14122220431104 is an abundant number, since it is smaller than the sum of its proper divisors (27987685662536).

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

14122220431104 is an frugal number, since it uses more digits than its factorization.

14122220431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681048467 (or 681048444 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14122220431104 its reverse (40113402222141), we get a palindrome (54235622653245).

The spelling of 14122220431104 in words is "fourteen trillion, one hundred twenty-two billion, two hundred twenty million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 681048439 1362096878 2043145317 2724193756 4086290634 5448387512 6129435951 8172581268 10896775024 12258871902 16345162536 18388307853 21793550048 24517743804 32690325072 36776615706 43587100096 49035487608 55164923559 65380650144 73553231412 87174200192 98070975216 110329847118 130761300288 147106462824 174348400384 196141950432 220659694236 261522600576 294212925648 392283900864 441319388472 523045201152 588425851296 784567801728 882638776944 1176851702592 1569135603456 1765277553888 2353703405184 3530555107776 4707406810368 7061110215552 14122220431104