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14250245680 = 2451153893433
BaseRepresentation
bin11010100010110000…
…10111111000110000
31100210010100111010001
431101120113320300
5213141030330210
610314012115344
71013064042526
oct152130277060
940703314101
1014250245680
11605298a550
122918465b54
131461409348
14992818316
155860b503a
hex351617e30

14250245680 has 160 divisors (see below), whose sum is σ = 37250383680. Its totient is φ = 5025546240.

The previous prime is 14250245629. The next prime is 14250245687. The reversal of 14250245680 is 8654205241.

It is not an unprimeable number, because it can be changed into a prime (14250245687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4149244 + ... + 4152676.

It is an arithmetic number, because the mean of its divisors is an integer number (232814898).

Almost surely, 214250245680 is an apocalyptic number.

14250245680 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 14250245680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18625191840).

14250245680 is an abundant number, since it is smaller than the sum of its proper divisors (23000138000).

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

14250245680 is a wasteful number, since it uses less digits than its factorization.

14250245680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 14250245680 in words is "fourteen billion, two hundred fifty million, two hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 89 106 110 176 178 212 220 265 356 424 440 445 530 583 712 848 880 890 979 1060 1166 1424 1780 1958 2120 2332 2915 3433 3560 3916 4240 4664 4717 4895 5830 6866 7120 7832 9328 9434 9790 11660 13732 15664 17165 18868 19580 23320 23585 27464 34330 37736 37763 39160 46640 47170 51887 54928 68660 75472 75526 78320 94340 103774 137320 151052 181949 188680 188815 207548 259435 274640 302104 305537 363898 377360 377630 415096 518870 604208 611074 727796 755260 830192 909745 1037740 1222148 1455592 1510520 1527685 1819490 2001439 2075480 2444296 2911184 3021040 3055370 3360907 3638980 4002878 4150960 4888592 6110740 6721814 7277960 8005756 10007195 12221480 13443628 14555920 16011512 16193461 16804535 20014390 24442960 26887256 32023024 32386922 33609070 40028780 53774512 64773844 67218140 80057560 80967305 129547688 134436280 160115120 161934610 178128071 259095376 268872560 323869220 356256142 647738440 712512284 890640355 1295476880 1425024568 1781280710 2850049136 3562561420 7125122840 14250245680