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154010846340 = 223351321938867
BaseRepresentation
bin1000111101101111000…
…0110000010010000100
3112201112021120121201000
42033123300300102010
510010403234040330
6154430202533300
714061350410551
oct2173360602204
9481467517630
10154010846340
115a35212039a
1225a21b07230
13116a54caa10
147650329a28
154015c98560
hex23dbc30484

154010846340 has 96 divisors (see below), whose sum is σ = 516002175360. Its totient is φ = 37910360448.

The previous prime is 154010846329. The next prime is 154010846357. The reversal of 154010846340 is 43648010451.

154010846340 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 10 + 8 + 4 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 154010846295 and 154010846304.

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, 10962414 + ... + 10976453.

It is an arithmetic number, because the mean of its divisors is an integer number (5375022660).

Almost surely, 2154010846340 is an apocalyptic number.

154010846340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154010846340 is an abundant number, since it is smaller than the sum of its proper divisors (361991329020).

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

154010846340 is a wasteful number, since it uses less digits than its factorization.

154010846340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21938898 (or 21938890 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 154010846340 its reverse (43648010451), we get a palindrome (197658856791).

The spelling of 154010846340 in words is "one hundred fifty-four billion, ten million, eight hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 21938867 43877734 65816601 87755468 109694335 131633202 197449803 219388670 263266404 285205271 329083005 394899606 438777340 570410542 592349409 658166010 789799212 855615813 987249015 1140821084 1184698818 1316332020 1426026355 1711231626 1974498030 2369397636 2566847439 2852052710 2961747045 3422463252 3948996060 4278079065 5133694878 5704105420 5923494090 7700542317 8556158130 10267389756 11846988180 12834237195 15401084634 17112316260 25668474390 30802169268 38502711585 51336948780 77005423170 154010846340