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154442140720 = 2457404968113
BaseRepresentation
bin1000111111010101111…
…0000000110000110000
3112202122100010122100221
42033311132000300300
510012244142000340
6154541051022424
714105135351560
oct2176536006060
9482570118327
10154442140720
115a55362022a
1225b2243aa14
13117439784aa
147691718da0
15403da8e44a
hex23f5780c30

154442140720 has 80 divisors (see below), whose sum is σ = 410482209600. Its totient is φ = 52937736192.

The previous prime is 154442140693. The next prime is 154442140729. The reversal of 154442140720 is 27041244451.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (154442140729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2233384 + ... + 2301496.

It is an arithmetic number, because the mean of its divisors is an integer number (5131027620).

Almost surely, 2154442140720 is an apocalyptic number.

154442140720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154442140720 is an abundant number, since it is smaller than the sum of its proper divisors (256040068880).

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

154442140720 is a wasteful number, since it uses less digits than its factorization.

154442140720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72182 (or 72176 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The spelling of 154442140720 in words is "one hundred fifty-four billion, four hundred forty-two million, one hundred forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4049 8098 16196 20245 28343 32392 40490 56686 64784 68113 80980 113372 136226 141715 161960 226744 272452 283430 323920 340565 453488 476791 544904 566860 681130 953582 1089808 1133720 1362260 1907164 2267440 2383955 2724520 3814328 4767910 5449040 7628656 9535820 19071640 38143280 275789537 551579074 1103158148 1378947685 1930526759 2206316296 2757895370 3861053518 4412632592 5515790740 7722107036 9652633795 11031581480 15444214072 19305267590 22063162960 30888428144 38610535180 77221070360 154442140720