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144040004202420 = 22355142537207931
BaseRepresentation
bin100000110000000011101101…
…010010001010111110110100
3200220000002102112220021200000
4200300003231102022332310
5122334422412033434140
61230203021525551300
742224355403305024
oct4060035522127664
9626002375807600
10144040004202420
1141994028291227
12141a3b01b75530
13624abb6400411
14277d8055ada84
15119bc2750da30
hex8300ed48afb4

144040004202420 has 144 divisors (see below), whose sum is σ = 453108976127808. Its totient is φ = 38410213582080.

The previous prime is 144040004202403. The next prime is 144040004202443. The reversal of 144040004202420 is 24202400040441.

144040004202420 is a `hidden beast` number, since 14 + 4 + 0 + 400 + 0 + 4 + 2 + 0 + 242 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692625855 + ... + 692833785.

Almost surely, 2144040004202420 is an apocalyptic number.

144040004202420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144040004202420 is an abundant number, since it is smaller than the sum of its proper divisors (309068971925388).

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

144040004202420 is a wasteful number, since it uses less digits than its factorization.

144040004202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350492 (or 350478 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 144040004202420 its reverse (24202400040441), we get a palindrome (168242404242861).

The spelling of 144040004202420 in words is "one hundred forty-four trillion, forty billion, four million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 142537 207931 285074 415862 427611 570148 623793 712685 831724 855222 1039655 1247586 1282833 1425370 1710444 1871379 2079310 2138055 2495172 2565666 2850740 3118965 3742758 3848499 4158620 4276110 5131332 5614137 6237930 6414165 7485516 7696998 8552220 9356895 11228274 11545497 12475860 12828330 15393996 16842411 18713790 19242495 22456548 23090994 25656660 28070685 33684822 34636491 37427580 38484990 46181988 50527233 56141370 57727485 67369644 69272982 76969980 84212055 101054466 112282740 115454970 138545964 168424110 173182455 202108932 230909940 252636165 336848220 346364910 505272330 692729820 1010544660 29637860947 59275721894 88913582841 118551443788 148189304735 177827165682 266740748523 296378609470 355654331364 444567914205 533481497046 592757218940 800222245569 889135828410 1066962994092 1333703742615 1600444491138 1778271656820 2400666736707 2667407485230 3200888982276 4001111227845 4801333473414 5334814970460 7202000210121 8002222455690 9602666946828 12003333683535 14404000420242 16004444911380 24006667367070 28808000840484 36010001050605 48013334734140 72020002101210 144040004202420