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245131242400 = 25521127855823
BaseRepresentation
bin1110010001001011110…
…1011110101110100000
3212102201121200100021201
43210102331132232200
513004012044224100
6304340045130544
723465403116122
oct3442275365640
9772647610251
10245131242400
1194a61217640
123b611b59a54
131a167492435
14bc15d55212
15659a68936a
hex3912f5eba0

245131242400 has 72 divisors (see below), whose sum is σ = 652829091264. Its totient is φ = 89138630400.

The previous prime is 245131242383. The next prime is 245131242407. The reversal of 245131242400 is 4242131542.

245131242400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (245131242407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13919112 + ... + 13936711.

It is an arithmetic number, because the mean of its divisors is an integer number (9067070712).

Almost surely, 2245131242400 is an apocalyptic number.

245131242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245131242400 is an abundant number, since it is smaller than the sum of its proper divisors (407697848864).

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

245131242400 is a wasteful number, since it uses less digits than its factorization.

245131242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27855854 (or 27855841 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 245131242400 its reverse (4242131542), we get a palindrome (249373373942).

The spelling of 245131242400 in words is "two hundred forty-five billion, one hundred thirty-one million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 27855823 55711646 111423292 139279115 222846584 278558230 306414053 445693168 557116460 612828106 696395575 891386336 1114232920 1225656212 1392791150 1532070265 2228465840 2451312424 2785582300 3064140530 4456931680 4902624848 5571164600 6128281060 7660351325 9805249696 11142329200 12256562120 15320702650 22284658400 24513124240 30641405300 49026248480 61282810600 122565621200 245131242400