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20415140300334 = 231317311597310987
BaseRepresentation
bin1001010010001010001010…
…01011111000011000101110
32200021200001020011211012210
410221011011023320120232
510133440201404102314
6111230330323311250
74204642131243123
oct451050513703056
980250036154183
1020415140300334
11656101552913a
12235871121b526
13b511a7552070
1450815312674a
152560a0a59559
hex1291452f862e

20415140300334 has 128 divisors (see below), whose sum is σ = 48089711480832. Its totient is φ = 5717763717120.

The previous prime is 20415140300323. The next prime is 20415140300371. The reversal of 20415140300334 is 43300304151402.

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, 65490789 + ... + 65801775.

It is an arithmetic number, because the mean of its divisors is an integer number (375700870944).

Almost surely, 220415140300334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20415140300334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24044855740416).

20415140300334 is an abundant number, since it is smaller than the sum of its proper divisors (27674571180498).

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

20415140300334 is a wasteful number, since it uses less digits than its factorization.

20415140300334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312650.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 20415140300334 its reverse (43300304151402), we get a palindrome (63715444451736).

The spelling of 20415140300334 in words is "twenty trillion, four hundred fifteen billion, one hundred forty million, three hundred thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 17 26 31 34 39 51 62 78 93 102 186 221 403 442 527 663 806 1054 1209 1326 1581 1597 2418 3162 3194 4791 6851 9582 13702 20553 20761 27149 41106 41522 49507 54298 62283 81447 99014 124566 148521 162894 297042 310987 352937 621974 643591 705874 841619 932961 1058811 1287182 1683238 1865922 1930773 2117622 2524857 3861546 4042831 5049714 5286779 8085662 9640597 10573558 10941047 12128493 15860337 19281194 21882094 24256986 28921791 31720674 32823141 57843582 65646282 68728127 125327761 137456254 163890149 206184381 250655522 327780298 375983283 412368762 491670447 496646239 751966566 983340894 993292478 1489938717 2130571937 2979877434 4261143874 6391715811 6456401107 8442986063 12783431622 12912802214 15396033409 16885972126 19369203321 25328958189 30792066818 38738406642 46188100227 50657916378 92376200454 109758818819 200148434317 219517637638 261732567953 329276456457 400296868634 523465135906 600445302951 658552912914 785197703859 1200890605902 1570395407718 3402523383389 6805046766778 10207570150167 20415140300334