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314640741675064 = 23729593283801679
BaseRepresentation
bin100011110001010100000000…
…1101000111011000000111000
31112021001100202021101010112011
41013202220001220323000320
5312220033214332100224
63033103543345055304
7123163020615413350
oct10742500150730070
91467040667333464
10314640741675064
1191288431010142
122b357597927534
1310674657909cac
14579a99c01bb60
1526597db267394
hex11e2a01a3b038

314640741675064 has 64 divisors (see below), whose sum is σ = 709301162880000. Its totient is φ = 127989454201728.

The previous prime is 314640741675031. The next prime is 314640741675097. The reversal of 314640741675064 is 460576147046413.

It is an interprime number because it is at equal distance from previous prime (314640741675031) and next prime (314640741675097).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

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, 1641805024 + ... + 1641996655.

It is an arithmetic number, because the mean of its divisors is an integer number (11082830670000).

Almost surely, 2314640741675064 is an apocalyptic number.

It is an amenable number.

314640741675064 is an abundant number, since it is smaller than the sum of its proper divisors (394660421204936).

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

314640741675064 is a wasteful number, since it uses less digits than its factorization.

314640741675064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283801780 (or 3283801776 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 58.

The spelling of 314640741675064 in words is "three hundred fourteen trillion, six hundred forty billion, seven hundred forty-one million, six hundred seventy-five thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 59 116 118 203 232 236 406 413 472 812 826 1624 1652 1711 3304 3422 6844 11977 13688 23954 47908 95816 3283801679 6567603358 13135206716 22986611753 26270413432 45973223506 91946447012 95230248691 183892894024 190460497382 193744299061 380920994764 387488598122 666611740837 761841989528 774977196244 1333223481674 1356210093427 1549954392488 2666446963348 2712420186854 5332893926696 5424840373708 5618584672769 10849680747416 11237169345538 22474338691076 39330092709383 44948677382152 78660185418766 157320370837532 314640741675064