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1640024313340 = 225759710327953
BaseRepresentation
bin10111110111011001000…
…100010000110111111100
312210210012010002021002211
4113313121010100313330
5203332232211011330
63253230004430204
7226326221440150
oct27673104206774
95723163067084
101640024313340
11582591a734a6
12225a209a8364
13bb86603c09a
14595401c7060
152c9da2bed2a
hex17dd9110dfc

1640024313340 has 96 divisors (see below), whose sum is σ = 4003477954560. Its totient is φ = 552666049536.

The previous prime is 1640024313331. The next prime is 1640024313349. The reversal of 1640024313340 is 433134200461.

It is an interprime number because it is at equal distance from previous prime (1640024313331) and next prime (1640024313349).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640024313349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58656804 + ... + 58684756.

It is an arithmetic number, because the mean of its divisors is an integer number (41702895360).

Almost surely, 21640024313340 is an apocalyptic number.

1640024313340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640024313340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001738977280).

1640024313340 is an abundant number, since it is smaller than the sum of its proper divisors (2363453641220).

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

1640024313340 is a wasteful number, since it uses less digits than its factorization.

1640024313340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35131 (or 35129 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 1640024313340 in words is "one trillion, six hundred forty billion, twenty-four million, three hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 4130 7103 8260 14206 27953 28412 35515 49721 55906 71030 99442 111812 139765 142060 195671 198884 248605 279530 391342 419077 497210 559060 782684 838154 978355 994420 1649227 1676308 1956710 2095385 2933539 3298454 3913420 4190770 5867078 6596908 8246135 8381540 11544589 11734156 14667695 16492270 23089178 29335390 32984540 46178356 57722945 58670780 115445890 198550159 230891780 397100318 794200636 992750795 1389851113 1985501590 2779702226 3971003180 5559404452 6949255565 11714459381 13898511130 23428918762 27797022260 46857837524 58572296905 82001215667 117144593810 164002431334 234289187620 328004862668 410006078335 820012156670 1640024313340