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126493141400 = 235223139197831
BaseRepresentation
bin111010111001110010…
…1000010100110011000
3110002111112011100222222
41311303211002212120
54033024221011100
6134035443003212
712065421650543
oct1656345024630
9402445140888
10126493141400
114971109838a
1220622369508
13bc0b4a6482
14619d84385a
15345504e485
hex1d73942998

126493141400 has 96 divisors (see below), whose sum is σ = 309092716800. Its totient is φ = 48048950400.

The previous prime is 126493141399. The next prime is 126493141451. The reversal of 126493141400 is 4141394621.

It is a congruent number.

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, 540485 + ... + 738315.

It is an arithmetic number, because the mean of its divisors is an integer number (3219715800).

Almost surely, 2126493141400 is an apocalyptic number.

126493141400 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 126493141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154546358400).

126493141400 is an abundant number, since it is smaller than the sum of its proper divisors (182599575400).

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

126493141400 is a wasteful number, since it uses less digits than its factorization.

126493141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198009 (or 198000 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 126493141400 in words is "one hundred twenty-six billion, four hundred ninety-three million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 139 184 200 230 278 460 556 575 695 920 1112 1150 1390 2300 2780 3197 3475 4600 5560 6394 6950 12788 13900 15985 25576 27800 31970 63940 79925 127880 159850 197831 319700 395662 639400 791324 989155 1582648 1978310 3956620 4550113 4945775 7913240 9100226 9891550 18200452 19783100 22750565 27498509 36400904 39566200 45501130 54997018 91002260 109994036 113752825 137492545 182004520 219988072 227505650 274985090 455011300 549970180 632465707 687462725 910022600 1099940360 1264931414 1374925450 2529862828 2749850900 3162328535 5059725656 5499701800 6324657070 12649314140 15811642675 25298628280 31623285350 63246570700 126493141400