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145166142402534 = 231141751400717827
BaseRepresentation
bin100001000000011100100000…
…010110011110111111100110
3201000222202012001121012020110
4201000130200112132333212
5123011400224423340114
61232424223303513450
742401623223130441
oct4100344026367746
9630882161535213
10145166142402534
1142288684a048a0
1214346207458886
136300154479096
1427bc116264658
1511bb187a61759
hex84072059efe6

145166142402534 has 128 divisors (see below), whose sum is σ = 324982489595904. Its totient is φ = 42846573600000.

The previous prime is 145166142402497. The next prime is 145166142402557. The reversal of 145166142402534 is 435204241661541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8143040529 + ... + 8143058355.

It is an arithmetic number, because the mean of its divisors is an integer number (2538925699968).

Almost surely, 2145166142402534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145166142402534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162491244797952).

145166142402534 is an abundant number, since it is smaller than the sum of its proper divisors (179816347193370).

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

145166142402534 is a wasteful number, since it uses less digits than its factorization.

145166142402534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22642.

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 145166142402534 in words is "one hundred forty-five trillion, one hundred sixty-six billion, one hundred forty-two million, four hundred two thousand, five hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 751 902 1353 1502 2253 2706 4007 4506 8014 8261 12021 16522 17827 24042 24783 30791 35654 44077 49566 53481 61582 88154 92373 106962 132231 164287 184746 196097 264462 328574 338701 392194 492861 588291 677402 730907 985722 1016103 1176582 1461814 1807157 2032206 2192721 3009257 3614314 4385442 5421471 6018514 8039977 9027771 10842942 13388077 16079954 18055542 24119931 26776154 33101827 40164231 48239862 66203654 71432789 80328462 99305481 123379537 142865578 147268847 198610962 214298367 246759074 294537694 370138611 428596734 441806541 548911157 740277222 785760679 883613082 1097822314 1357174907 1571521358 1646733471 2357282037 2714349814 2928744349 3293466942 4071524721 4714564074 5857488698 6038022727 8143049442 8786233047 12076045454 17572466094 18114068181 32216187839 36228136362 53646024539 64432375678 96648563517 107292049078 160938073617 193297127034 321876147234 590106269929 1180212539858 1770318809787 2199487006099 3540637619574 4398974012198 6598461018297 13196922036594 24194357067089 48388714134178 72583071201267 145166142402534