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142514230400 = 275279563743
BaseRepresentation
bin1000010010111010000…
…0101001010010000000
3111121212001200000110122
42010232200221102000
54313332120333100
6145245314315412
713203430654043
oct2045640512200
9447761600418
10142514230400
1155492627703
1223753888b68
13105927346a9
146c7d504c5a
153a9180d985
hex212e829480

142514230400 has 96 divisors (see below), whose sum is σ = 356511705600. Its totient is φ = 56284001280.

The previous prime is 142514230381. The next prime is 142514230427. The reversal of 142514230400 is 4032415241.

It is a self number, because there is not a number n which added to its sum of digits gives 142514230400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29072 + ... + 534671.

It is an arithmetic number, because the mean of its divisors is an integer number (3713663600).

Almost surely, 2142514230400 is an apocalyptic number.

142514230400 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 142514230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178255852800).

142514230400 is an abundant number, since it is smaller than the sum of its proper divisors (213997475200).

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

142514230400 is an equidigital number, since it uses as much as digits as its factorization.

142514230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563846 (or 563829 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 142514230400 its reverse (4032415241), we get a palindrome (146546645641).

The spelling of 142514230400 in words is "one hundred forty-two billion, five hundred fourteen million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 128 158 160 200 316 320 395 400 632 640 790 800 1264 1580 1600 1975 2528 3160 3200 3950 5056 6320 7900 10112 12640 15800 25280 31600 50560 63200 126400 252800 563743 1127486 2254972 2818715 4509944 5637430 9019888 11274860 14093575 18039776 22549720 28187150 36079552 44535697 45099440 56374300 72159104 89071394 90198880 112748600 178142788 180397760 222678485 225497200 356285576 360795520 445356970 450994400 712571152 890713940 901988800 1113392425 1425142304 1781427880 1803977600 2226784850 2850284608 3562855760 4453569700 5700569216 7125711520 8907139400 14251423040 17814278800 28502846080 35628557600 71257115200 142514230400