Search a number
-
+
154145051535744 = 27321250310701949
BaseRepresentation
bin100011000011000110110001…
…000010100110100110000000
3202012210010022200012222102100
4203003012301002212212000
5130201003031143120434
61303501131543550400
744316420034365333
oct4303066102464600
9665703280188370
10154145051535744
114512a6050475a5
1215356415a5b400
136801a7b95a629
142a0c935c2261a
1512c49ee842699
hex8c31b10a6980

154145051535744 has 96 divisors (see below), whose sum is σ = 443603960982000. Its totient is φ = 51377569496064.

The previous prime is 154145051535697. The next prime is 154145051535757. The reversal of 154145051535744 is 447535150541451.

154145051535744 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 4 + 50 + 5 + 15 + 3 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9052482 + ... + 19754430.

Almost surely, 2154145051535744 is an apocalyptic number.

It is an amenable number.

154145051535744 is an abundant number, since it is smaller than the sum of its proper divisors (289458909446256).

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

154145051535744 is a wasteful number, since it uses less digits than its factorization.

154145051535744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10714472 (or 10714457 counting only the distinct ones).

The product of its (nonzero) digits is 16800000, while the sum is 54.

The spelling of 154145051535744 in words is "one hundred fifty-four trillion, one hundred forty-five billion, fifty-one million, five hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 12503 25006 37509 50012 75018 100024 112527 150036 200048 225054 300072 400096 450108 600144 800192 900216 1200288 1600384 1800432 2400576 3600864 4801152 7201728 10701949 14403456 21403898 32105847 42807796 64211694 85615592 96317541 128423388 171231184 192635082 256846776 342462368 385270164 513693552 684924736 770540328 1027387104 1369849472 1541080656 2054774208 3082161312 4109548416 6164322624 12328645248 133806468347 267612936694 401419405041 535225873388 802838810082 1070451746776 1204258215123 1605677620164 2140903493552 2408516430246 3211355240328 4281806987104 4817032860492 6422710480656 8563613974208 9634065720984 12845420961312 17127227948416 19268131441968 25690841922624 38536262883936 51381683845248 77072525767872 154145051535744