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146141720064360 = 23335163830162009
BaseRepresentation
bin100001001110101001000101…
…010011111011000101101000
3201011110000022202002021222000
4201032221011103323011220
5123123341220314024420
61234452325050531000
742532251026336406
oct4116510523730550
9634400282067860
10146141720064360
11426243a0084629
12144832b2436a60
136371149ab5537
142813422d34476
1511d67351ae690
hex84ea454fb168

146141720064360 has 128 divisors (see below), whose sum is σ = 490127650704000. Its totient is φ = 38732038645248.

The previous prime is 146141720064287. The next prime is 146141720064407. The reversal of 146141720064360 is 63460027141641.

146141720064360 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 4 + 1 + 7 + 200 + 6 + 436 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 414904965 + ... + 415257044.

It is an arithmetic number, because the mean of its divisors is an integer number (3829122271125).

Almost surely, 2146141720064360 is an apocalyptic number.

146141720064360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146141720064360 is an abundant number, since it is smaller than the sum of its proper divisors (343985930639640).

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

146141720064360 is a wasteful number, since it uses less digits than its factorization.

146141720064360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830162192 (or 830162182 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 146141720064360 in words is "one hundred forty-six trillion, one hundred forty-one billion, seven hundred twenty million, sixty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 163 180 216 270 326 360 489 540 652 815 978 1080 1304 1467 1630 1956 2445 2934 3260 3912 4401 4890 5868 6520 7335 8802 9780 11736 14670 17604 19560 22005 29340 35208 44010 58680 88020 176040 830162009 1660324018 2490486027 3320648036 4150810045 4980972054 6641296072 7471458081 8301620090 9961944108 12452430135 14942916162 16603240180 19923888216 22414374243 24904860270 29885832324 33206480360 37357290405 44828748486 49809720540 59771664648 74714580810 89657496972 99619441080 112071871215 135316407467 149429161620 179314993944 224143742430 270632814934 298858323240 405949222401 448287484860 541265629868 676582037335 811898444802 896574969720 1082531259736 1217847667203 1353164074670 1623796889604 2029746112005 2435695334406 2706328149340 3247593779208 3653543001609 4059492224010 4871390668812 5412656298680 6089238336015 7307086003218 8118984448020 9742781337624 12178476672030 14614172006436 16237968896040 18267715008045 24356953344060 29228344012872 36535430016090 48713906688120 73070860032180 146141720064360