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245120313400 = 235229317133319
BaseRepresentation
bin1110010001001001001…
…1110010100000111000
3212102200212010002111221
43210102103302200320
513004001300012100
6304335015001424
723465211200134
oct3442223624070
9772625102457
10245120313400
1194a56032506
123b60a369274
131a165136a81
14bc1470c3c4
15659972b01a
hex39124f2838

245120313400 has 96 divisors (see below), whose sum is σ = 591420852000. Its totient is φ = 94367813120.

The previous prime is 245120313391. The next prime is 245120313407. The reversal of 245120313400 is 4313021542.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245120313407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1771941 + ... + 1905259.

It is an arithmetic number, because the mean of its divisors is an integer number (6160633875).

Almost surely, 2245120313400 is an apocalyptic number.

245120313400 is a gapful number since it is divisible by the number (20) 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 245120313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295710426000).

245120313400 is an abundant number, since it is smaller than the sum of its proper divisors (346300538600).

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

245120313400 is a wasteful number, since it uses less digits than its factorization.

245120313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133681 (or 133672 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 245120313400 its reverse (4313021542), we get a palindrome (249433334942).

The spelling of 245120313400 in words is "two hundred forty-five billion, one hundred twenty million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 317 580 634 725 1160 1268 1450 1585 2536 2900 3170 5800 6340 7925 9193 12680 15850 18386 31700 36772 45965 63400 73544 91930 133319 183860 229825 266638 367720 459650 533276 666595 919300 1066552 1333190 1838600 2666380 3332975 3866251 5332760 6665950 7732502 13331900 15465004 19331255 26663800 30930008 38662510 42262123 77325020 84524246 96656275 154650040 169048492 193312550 211310615 338096984 386625100 422621230 773250200 845242460 1056553075 1225601567 1690484920 2113106150 2451203134 4226212300 4902406268 6128007835 8452424600 9804812536 12256015670 24512031340 30640039175 49024062680 61280078350 122560156700 245120313400