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420664400305320 = 233537412310834983
BaseRepresentation
bin101111110100101111001000…
…0001001100101110010101000
32001011110010100100010011011010
41133221132100021211302220
5420114131142434232240
64050402320241303520
7154414666664246403
oct13751362011456250
92034403310104133
10420664400305320
11112044852301856
123b21b6b4634ba0
1315095637758112
1475c43a0b96d3a
1533976a6a2e280
hex17e9790265ca8

420664400305320 has 128 divisors (see below), whose sum is σ = 1327713348407040. Its totient is φ = 106483275970560.

The previous prime is 420664400305277. The next prime is 420664400305349. The reversal of 420664400305320 is 23503004466024.

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, 1155235452 + ... + 1155599531.

It is an arithmetic number, because the mean of its divisors is an integer number (10372760534430).

Almost surely, 2420664400305320 is an apocalyptic number.

420664400305320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420664400305320 is an abundant number, since it is smaller than the sum of its proper divisors (907048948101720).

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

420664400305320 is a wasteful number, since it uses less digits than its factorization.

420664400305320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310835075 (or 2310835071 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 420664400305320 in words is "four hundred twenty trillion, six hundred sixty-four billion, four hundred million, three hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 41 60 74 82 111 120 123 148 164 185 205 222 246 296 328 370 410 444 492 555 615 740 820 888 984 1110 1230 1480 1517 1640 2220 2460 3034 4440 4551 4920 6068 7585 9102 12136 15170 18204 22755 30340 36408 45510 60680 91020 182040 2310834983 4621669966 6932504949 9243339932 11554174915 13865009898 18486679864 23108349830 27730019796 34662524745 46216699660 55460039592 69325049490 85500894371 92433399320 94744234303 138650098980 171001788742 189488468606 256502683113 277300197960 284232702909 342003577484 378976937212 427504471855 473721171515 513005366226 568465405818 684007154968 757953874424 855008943710 947442343030 1026010732452 1136930811636 1282513415565 1421163514545 1710017887420 1894884686060 2052021464904 2273861623272 2565026831130 2842327029090 3420035774840 3505536669211 3789769372120 5130053662260 5684654058180 7011073338422 10260107324520 10516610007633 11369308116360 14022146676844 17527683346055 21033220015266 28044293353688 35055366692110 42066440030532 52583050038165 70110733384220 84132880061064 105166100076330 140221466768440 210332200152660 420664400305320