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142415142000 = 2435344815297
BaseRepresentation
bin1000010010100010011…
…0101001110001110000
3111121121011012210201220
42010220212221301300
54313131234021000
6145231414425040
713201115506425
oct2045046516160
9447534183656
10142415142000
11554416a906a
1223726662180
131057804cac1
146c702add4c
153a87c891a0
hex21289a9c70

142415142000 has 160 divisors (see below), whose sum is σ = 459335582784. Its totient is φ = 37961728000.

The previous prime is 142415141993. The next prime is 142415142007. The reversal of 142415142000 is 241514241.

It is an interprime number because it is at equal distance from previous prime (142415141993) and next prime (142415142007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142415142007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26883352 + ... + 26888648.

Almost surely, 2142415142000 is an apocalyptic number.

142415142000 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 142415142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229667791392).

142415142000 is an abundant number, since it is smaller than the sum of its proper divisors (316920440784).

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

142415142000 is a wasteful number, since it uses less digits than its factorization.

142415142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9804 (or 9788 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 142415142000 its reverse (241514241), we get a palindrome (142656656241).

The spelling of 142415142000 in words is "one hundred forty-two billion, four hundred fifteen million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 4481 5297 6000 8962 10594 13443 15891 17924 21188 22405 26485 26886 31782 35848 42376 44810 52970 53772 63564 67215 71696 79455 84752 89620 105940 107544 112025 127128 132425 134430 158910 179240 211880 215088 224050 254256 264850 268860 317820 336075 358480 397275 423760 448100 529700 537720 560125 635640 662125 672150 794550 896200 1059400 1075440 1120250 1271280 1324250 1344300 1589100 1680375 1792400 1986375 2118800 2240500 2648500 2688600 3178200 3360750 3972750 4481000 5297000 5377200 6356400 6721500 7945500 8962000 10594000 13443000 15891000 23735857 26886000 31782000 47471714 71207571 94943428 118679285 142415142 189886856 237358570 284830284 356037855 379773712 474717140 569660568 593396425 712075710 949434280 1139321136 1186792850 1424151420 1780189275 1898868560 2373585700 2848302840 2966982125 3560378550 4747171400 5696605680 5933964250 7120757100 8900946375 9494342800 11867928500 14241514200 17801892750 23735857000 28483028400 35603785500 47471714000 71207571000 142415142000