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423064641320 = 235237111715531
BaseRepresentation
bin1100010100000001001…
…11100001111100101000
31111110000002202112210122
412022000213201330220
523412414022010240
6522204143302412
742364636055156
oct6120047417450
91443002675718
10423064641320
11153469a62842
1269bab5aaa08
1330b82c10bb9
14166954ba3d6
15b0117264b5
hex62809e1f28

423064641320 has 128 divisors (see below), whose sum is σ = 1008314542080. Its totient is φ = 159423264000.

The previous prime is 423064641317. The next prime is 423064641353. The reversal of 423064641320 is 23146460324.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76486955 + ... + 76492485.

It is an arithmetic number, because the mean of its divisors is an integer number (7877457360).

Almost surely, 2423064641320 is an apocalyptic number.

423064641320 is a gapful number since it is divisible by the number (40) 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 423064641320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504157271040).

423064641320 is an abundant number, since it is smaller than the sum of its proper divisors (585249900760).

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

423064641320 is a wasteful number, since it uses less digits than its factorization.

423064641320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6807 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 423064641320 in words is "four hundred twenty-three billion, sixty-four million, six hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 71 92 115 142 184 230 284 355 460 568 710 920 1171 1420 1633 2342 2840 3266 4684 5531 5855 6532 8165 9368 11062 11710 13064 16330 22124 23420 26933 27655 32660 44248 46840 53866 55310 65320 83141 107732 110620 127213 134665 166282 215464 221240 254426 269330 332564 392701 415705 508852 538660 636065 665128 785402 831410 1017704 1077320 1272130 1570804 1662820 1912243 1963505 2544260 3141608 3325640 3824486 3927010 5088520 6476801 7648972 7854020 9032123 9561215 12953602 15297944 15708040 18064246 19122430 25907204 32384005 36128492 38244860 45160615 51814408 64768010 72256984 76489720 90321230 129536020 148966423 180642460 259072040 297932846 361284920 459852871 595865692 744832115 919705742 1191731384 1489664230 1839411484 2299264355 2979328460 3678822968 4598528710 5958656920 9197057420 10576616033 18394114840 21153232066 42306464132 52883080165 84612928264 105766160330 211532320660 423064641320