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3930023299840 = 28511909130703
BaseRepresentation
bin111001001100000111101…
…001001000101100000000
3111220201002002012000102121
4321030013221020230000
51003342141431043330
612205232222254024
7553635432605041
oct71140751105400
914821062160377
103930023299840
111285793774070
125357b8a27314
132267a444b491
14d82dd8708c8
156c36794d17a
hex39307a48b00

3930023299840 has 144 divisors (see below), whose sum is σ = 10270882976256. Its totient is φ = 1428895641600.

The previous prime is 3930023299823. The next prime is 3930023299841. The reversal of 3930023299840 is 489923200393.

It is not an unprimeable number, because it can be changed into a prime (3930023299841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127985929 + ... + 128016631.

It is an arithmetic number, because the mean of its divisors is an integer number (71325576224).

Almost surely, 23930023299840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3930023299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135441488128).

3930023299840 is an abundant number, since it is smaller than the sum of its proper divisors (6340859676416).

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

3930023299840 is a wasteful number, since it uses less digits than its factorization.

3930023299840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39826 (or 39812 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 52.

The spelling of 3930023299840 in words is "three trillion, nine hundred thirty billion, twenty-three million, two hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 9091 14080 18182 30703 36364 45455 61406 72728 90910 100001 122812 145456 153515 181820 200002 245624 290912 307030 337733 363640 400004 491248 500005 581824 614060 675466 727280 800008 982496 1000010 1163648 1228120 1350932 1454560 1600016 1688665 1964992 2000020 2327296 2456240 2701864 2909120 3200032 3377330 3929984 4000040 4912480 5403728 5818240 6400064 6754660 7859968 8000080 9824960 10807456 11636480 12800128 13509320 16000160 19649920 21614912 25600256 27018640 32000320 39299840 43229824 54037280 64000640 86459648 108074560 128001280 216149120 279120973 432298240 558241946 1116483892 1395604865 2232967784 2791209730 3070330703 4465935568 5582419460 6140661406 8931871136 11164838920 12281322812 15351653515 17863742272 22329677840 24562645624 30703307030 35727484544 44659355680 49125291248 61406614060 71454969088 89318711360 98250582496 122813228120 178637422720 196501164992 245626456240 357274845440 393002329984 491252912480 786004659968 982505824960 1965011649920 3930023299840