Search a number
-
+
70304120202960 = 24325713949230199
BaseRepresentation
bin11111111110000111101000…
…00111000110011011010000
3100012221000020000102210110100
433333003310013012123100
533203330314232443320
6405305133354532400
720544206431510050
oct1777036407063320
9305830200383410
1070304120202960
11204458a0036936
127a754ab737100
13302c85b322417
141350a47c8b560
1581db88c70790
hex3ff0f41c66d0

70304120202960 has 120 divisors (see below), whose sum is σ = 269833908988800. Its totient is φ = 16069513188096.

The previous prime is 70304120202917. The next prime is 70304120202973. The reversal of 70304120202960 is 6920202140307.

70304120202960 is a `hidden beast` number, since 7 + 0 + 30 + 412 + 0 + 202 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6974610060 + ... + 6974620139.

It is an arithmetic number, because the mean of its divisors is an integer number (2248615908240).

Almost surely, 270304120202960 is an apocalyptic number.

70304120202960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

70304120202960 is an abundant number, since it is smaller than the sum of its proper divisors (199529788785840).

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

70304120202960 is a wasteful number, since it uses less digits than its factorization.

70304120202960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13949230225 (or 13949230216 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 70304120202960 in words is "seventy trillion, three hundred four billion, one hundred twenty million, two hundred two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 13949230199 27898460398 41847690597 55796920796 69746150995 83695381194 97644611393 111593841592 125543071791 139492301990 167390762388 195289222786 209238452985 223187683184 251086143582 278984603980 292933834179 334781524776 390578445572 418476905970 488223056965 502172287164 557969207960 585867668358 627715358955 669563049552 781156891144 836953811940 878801502537 976446113930 1004344574328 1115938415920 1171735336716 1255430717910 1464669170895 1562313782288 1673907623880 1757603005074 1952892227860 2008689148656 2343470673432 2510861435820 2929338341790 3347815247760 3515206010148 3905784455720 4394007512685 4686941346864 5021722871640 5858676683580 7030412020296 7811568911440 8788015025370 10043445743280 11717353367160 14060824040592 17576030050740 23434706734320 35152060101480 70304120202960