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214142152003320 = 233510411491713989
BaseRepresentation
bin110000101100001011011010…
…111001101100111011111000
31001002012210022202121222122210
4300230023122321230323320
5211032001111403101240
62035235314015215120
763051155104041552
oct6054133271547370
91032183282558583
10214142152003320
11622611a414a012
12200262255174a0
13926469789cb58
143ac476d4264d2
1519b54dea99780
hexc2c2dae6cef8

214142152003320 has 64 divisors (see below), whose sum is σ = 642427447860000. Its totient is φ = 57104485703168.

The previous prime is 214142152003277. The next prime is 214142152003343. The reversal of 214142152003320 is 23300251241412.

It is a happy number.

It is a super-2 number, since 2×2141421520033202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124080886 + ... + 125794874.

Almost surely, 2214142152003320 is an apocalyptic number.

214142152003320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214142152003320 is an abundant number, since it is smaller than the sum of its proper divisors (428285295856680).

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

214142152003320 is a wasteful number, since it uses less digits than its factorization.

214142152003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755152 (or 2755148 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 214142152003320 in words is "two hundred fourteen trillion, one hundred forty-two billion, one hundred fifty-two million, three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1041149 1713989 2082298 3123447 3427978 4164596 5141967 5205745 6246894 6855956 8329192 8569945 10283934 10411490 12493788 13711912 15617235 17139890 20567868 20822980 24987576 25709835 31234470 34279780 41135736 41645960 51419670 62468940 68559560 102839340 124937880 205678680 1784517933361 3569035866722 5353553800083 7138071733444 8922589666805 10707107600166 14276143466888 17845179333610 21414215200332 26767769000415 35690358667220 42828430400664 53535538000830 71380717334440 107071076001660 214142152003320