Search a number
-
+
14707262340 = 2234571127867
BaseRepresentation
bin11011011001001111…
…10000001110000100
31101221222022100010000
431230213300032010
5220110024343330
610431215401300
71030313444601
oct155447601604
941858270100
1014707262340
116267958971
122a25523230
131504cc19c4
149d73c16a8
155b128c560
hex36c9f0384

14707262340 has 120 divisors (see below), whose sum is σ = 46787412672. Its totient is φ = 3866667840.

The previous prime is 14707262291. The next prime is 14707262399. The reversal of 14707262340 is 4326270741.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14707262295 and 14707262304.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51087 + ... + 178953.

Almost surely, 214707262340 is an apocalyptic number.

14707262340 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 14707262340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23393706336).

14707262340 is an abundant number, since it is smaller than the sum of its proper divisors (32080150332).

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

14707262340 is a wasteful number, since it uses less digits than its factorization.

14707262340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127959 (or 127948 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 14707262340 in words is "fourteen billion, seven hundred seven million, two hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 81 90 108 135 142 162 180 213 270 284 324 355 405 426 540 639 710 810 852 1065 1278 1420 1620 1917 2130 2556 3195 3834 4260 5751 6390 7668 9585 11502 12780 19170 23004 28755 38340 57510 115020 127867 255734 383601 511468 639335 767202 1150803 1278670 1534404 1918005 2301606 2557340 3452409 3836010 4603212 5754015 6904818 7672020 9078557 10357227 11508030 13809636 17262045 18157114 20714454 23016060 27235671 34524090 36314228 41428908 45392785 51786135 54471342 69048180 81707013 90785570 103572270 108942684 136178355 163414026 181571140 207144540 245121039 272356710 326828052 408535065 490242078 544713420 735363117 817070130 980484156 1225605195 1470726234 1634140260 2451210390 2941452468 3676815585 4902420780 7353631170 14707262340