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154140413160 = 23351957165633
BaseRepresentation
bin1000111110001101111…
…1000000110011101000
3112201212022101021222010
42033203133000303220
510011134421210120
6154451111555520
714064512615436
oct2174337006350
9481768337863
10154140413160
115a409276908
1225a5938bba0
13116c62c4286
147663615d56
15402233d7e0
hex23e37c0ce8

154140413160 has 64 divisors (see below), whose sum is σ = 462451913280. Its totient is φ = 41101383680.

The previous prime is 154140413149. The next prime is 154140413191. The reversal of 154140413160 is 61314041451.

154140413160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2315704 + ... + 2381336.

It is an arithmetic number, because the mean of its divisors is an integer number (7225811145).

Almost surely, 2154140413160 is an apocalyptic number.

154140413160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154140413160 is an abundant number, since it is smaller than the sum of its proper divisors (308311500120).

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

154140413160 is a wasteful number, since it uses less digits than its factorization.

154140413160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85218 (or 85214 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 154140413160 in words is "one hundred fifty-four billion, one hundred forty million, four hundred thirteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 19571 39142 58713 65633 78284 97855 117426 131266 156568 195710 196899 234852 262532 293565 328165 391420 393798 469704 525064 587130 656330 782840 787596 984495 1174260 1312660 1575192 1968990 2348520 2625320 3937980 7875960 1284503443 2569006886 3853510329 5138013772 6422517215 7707020658 10276027544 12845034430 15414041316 19267551645 25690068860 30828082632 38535103290 51380137720 77070206580 154140413160