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145714288746 = 23137138368699
BaseRepresentation
bin1000011110110100111…
…1111001100001101010
3111221010002010211021010
42013231033321201222
54341410324214441
6150535030524350
713345636006155
oct2075517714152
9457102124233
10145714288746
1156884a0a924
12242a75066b6
13109826c3940
1470a4506c9c
153bcc71e116
hex21ed3f986a

145714288746 has 64 divisors (see below), whose sum is σ = 319102156800. Its totient is φ = 44087628480.

The previous prime is 145714288721. The next prime is 145714288771. The reversal of 145714288746 is 647882417541.

It is an interprime number because it is at equal distance from previous prime (145714288721) and next prime (145714288771).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2086705 + ... + 2155403.

It is an arithmetic number, because the mean of its divisors is an integer number (4985971200).

Almost surely, 2145714288746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145714288746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159551078400).

145714288746 is an abundant number, since it is smaller than the sum of its proper divisors (173387868054).

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

145714288746 is a wasteful number, since it uses less digits than its factorization.

145714288746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69171.

The product of its digits is 12042240, while the sum is 57.

The spelling of 145714288746 in words is "one hundred forty-five billion, seven hundred fourteen million, two hundred eighty-eight thousand, seven hundred forty-six".

Divisors: 1 2 3 6 13 26 39 71 78 142 213 383 426 766 923 1149 1846 2298 2769 4979 5538 9958 14937 27193 29874 54386 68699 81579 137398 163158 206097 353509 412194 707018 893087 1060527 1786174 2121054 2679261 4877629 5358522 9755258 14632887 26311717 29265774 52623434 63409177 78935151 126818354 157870302 190227531 342052321 380455062 684104642 1026156963 1868131907 2052313926 3736263814 5604395721 11208791442 24285714791 48571429582 72857144373 145714288746