Search a number
-
+
145024508542732 = 227131273270795917
BaseRepresentation
bin100000111110011000100110…
…010100001011111100001100
3201000111012121100111122012021
4200332120212110023330030
5123002040143141331412
61232235201154415524
742355450342155460
oct4076304624137414
9630435540448167
10145024508542732
11422336043226a5
121432287a5915a4
1362bc9a2257550
1427b531ba4a4a0
1511b76486a3607
hex83e62650bf0c

145024508542732 has 96 divisors (see below), whose sum is σ = 314832919052288. Its totient is φ = 56918248660224.

The previous prime is 145024508542691. The next prime is 145024508542789. The reversal of 145024508542732 is 237245805420541.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 145024508542732.

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, 1511931238 + ... + 1512027154.

Almost surely, 2145024508542732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145024508542732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157416459526144).

145024508542732 is an abundant number, since it is smaller than the sum of its proper divisors (169808410509556).

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

145024508542732 is a wasteful number, since it uses less digits than its factorization.

145024508542732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128775 (or 128773 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 52.

The spelling of 145024508542732 in words is "one hundred forty-five trillion, twenty-four billion, five hundred eight million, five hundred forty-two thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 127 182 254 364 508 889 1651 1778 3302 3556 6604 11557 23114 32707 46228 65414 95917 130828 191834 228949 383668 425191 457898 671419 850382 915796 1246921 1342838 1700764 2493842 2685676 2976337 4153789 4987684 5952674 8307578 8728447 11905348 12181459 16615156 17456894 24362918 29076523 34913788 48725836 53999257 58153046 85270213 107998514 116306092 158358967 170540426 215997028 316717934 341080852 377994799 633435868 755989598 1108512769 1511979196 2217025538 3137157319 4434051076 6274314638 12548629276 21960101233 40783045147 43920202466 81566090294 87840404932 163132180588 285481316029 398418979513 570962632058 796837959026 1141925264116 1593675918052 2788932856591 5179446733669 5577865713182 10358893467338 11155731426364 20717786934676 36256127135683 72512254271366 145024508542732