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10099343376040 = 2351755750515279
BaseRepresentation
bin1001001011110110111111…
…0001100011111010101000
31022202111011121022122100011
42102331233301203322220
52310431423401013130
633251324014221304
72061440100200242
oct222755761437250
938674147278304
1010099343376040
113244120056896
1211713a17b4834
13583496904c79
1426cb4cca7092
15127a916c752a
hex92f6fc63ea8

10099343376040 has 128 divisors (see below), whose sum is σ = 24112735257600. Its totient is φ = 3793809510400.

The previous prime is 10099343376029. The next prime is 10099343376079. The reversal of 10099343376040 is 4067334399001.

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, 1913114121 + ... + 1913119399.

It is an arithmetic number, because the mean of its divisors is an integer number (188380744200).

Almost surely, 210099343376040 is an apocalyptic number.

10099343376040 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 10099343376040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12056367628800).

10099343376040 is an abundant number, since it is smaller than the sum of its proper divisors (14013391881560).

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

10099343376040 is a wasteful number, since it uses less digits than its factorization.

10099343376040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10915 (or 10911 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 49.

The spelling of 10099343376040 in words is "ten trillion, ninety-nine billion, three hundred forty-three million, three hundred seventy-six thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 557 680 1114 2228 2785 4456 5051 5279 5570 9469 10102 10558 11140 18938 20204 21116 22280 25255 26395 37876 40408 42232 47345 50510 52790 75752 85867 89743 94690 101020 105580 171734 179486 189380 202040 211160 343468 358972 378760 429335 448715 686936 717944 858670 897430 1717340 1794860 2813407 2940403 3434680 3589720 5626814 5880806 11253628 11761612 14067035 14702015 22507256 23523224 26664229 28134070 29404030 47827919 49986851 53328458 56268140 58808060 95655838 99973702 106656916 112536280 117616120 133321145 191311676 199947404 213313832 239139595 249934255 266642290 382623352 399894808 453291893 478279190 499868510 533284580 906583786 956558380 999737020 1066569160 1813167572 1913116760 1999474040 2266459465 3626335144 4532918930 9065837860 14851975553 18131675720 29703951106 59407902212 74259877765 118815804424 148519755530 252483584401 297039511060 504967168802 594079022120 1009934337604 1262417922005 2019868675208 2524835844010 5049671688020 10099343376040