Search a number
-
+
140414122320 = 24352325437341
BaseRepresentation
bin1000001011000101010…
…1010111100101010000
3111102102200221110202220
42002301111113211100
54300032003403240
6144301053541040
713100410230003
oct2026125274520
9442380843686
10140414122320
115460512539a
12232684a4780
13103196095a4
146b2062b53a
1539bc2745d0
hex20b1557950

140414122320 has 80 divisors (see below), whose sum is σ = 454209178752. Its totient is φ = 35815774720.

The previous prime is 140414122283. The next prime is 140414122363. The reversal of 140414122320 is 23221414041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1404141223202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12713151 + ... + 12724190.

Almost surely, 2140414122320 is an apocalyptic number.

140414122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140414122320 is an abundant number, since it is smaller than the sum of its proper divisors (313795056432).

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

140414122320 is a wasteful number, since it uses less digits than its factorization.

140414122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25437380 (or 25437374 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 140414122320 its reverse (23221414041), we get a palindrome (163635536361).

The spelling of 140414122320 in words is "one hundred forty billion, four hundred fourteen million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 25437341 50874682 76312023 101749364 127186705 152624046 203498728 254373410 305248092 381560115 406997456 508746820 585058843 610496184 763120230 1017493640 1170117686 1220992368 1526240460 1755176529 2034987280 2340235372 2925294215 3052480920 3510353058 4680470744 5850588430 6104961840 7020706116 8775882645 9360941488 11701176860 14041412232 17551765290 23402353720 28082824464 35103530580 46804707440 70207061160 140414122320