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10034322411400 = 2352723929989009
BaseRepresentation
bin1001001000000100110000…
…1110010000111110001000
31022112021100011220101221121
42102001030032100332020
52303400243014131100
633201412025245024
72053645602130540
oct222011416207610
938467304811847
1010034322411400
113219594452781
121160876333774
1357a303b889b1
14269941656320
1512603827b51a
hex9204c390f88

10034322411400 has 96 divisors (see below), whose sum is σ = 26774188128000. Its totient is φ = 3425944273920.

The previous prime is 10034322411361. The next prime is 10034322411457. The reversal of 10034322411400 is 411422343001.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14659905 + ... + 15329104.

It is an arithmetic number, because the mean of its divisors is an integer number (278897793000).

Almost surely, 210034322411400 is an apocalyptic number.

10034322411400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10034322411400 is an abundant number, since it is smaller than the sum of its proper divisors (16739865716600).

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

10034322411400 is a wasteful number, since it uses less digits than its factorization.

10034322411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29989271 (or 29989262 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10034322411400 its reverse (411422343001), we get a palindrome (10445744754401).

The spelling of 10034322411400 in words is "ten trillion, thirty-four billion, three hundred twenty-two million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 239 280 350 478 700 956 1195 1400 1673 1912 2390 3346 4780 5975 6692 8365 9560 11950 13384 16730 23900 33460 41825 47800 66920 83650 167300 334600 29989009 59978018 119956036 149945045 209923063 239912072 299890090 419846126 599780180 749725225 839692252 1049615315 1199560360 1499450450 1679384504 2099230630 2998900900 4198461260 5248076575 5997801800 7167373151 8396922520 10496153150 14334746302 20992306300 28669492604 35836865755 41984612600 50171612057 57338985208 71673731510 100343224114 143347463020 179184328775 200686448228 250858060285 286694926040 358368657550 401372896456 501716120570 716737315100 1003432241140 1254290301425 1433474630200 2006864482280 2508580602850 5017161205700 10034322411400