Search a number
-
+
144042212213240 = 235113743205762831
BaseRepresentation
bin100000110000000101110000…
…111001000100000111111000
3200220000022010102122212002112
4200300011300321010013320
5122334441422311310430
61230204025003151452
742224464204140245
oct4060056071040770
9626008112585075
10144042212213240
1141994a60692460
12141a4419515588
13624b1789a80b3
14277d9749345cc
15119bd062ae195
hex830170e441f8

144042212213240 has 128 divisors (see below), whose sum is σ = 371558291512320. Its totient is φ = 49778143833600.

The previous prime is 144042212213233. The next prime is 144042212213303. The reversal of 144042212213240 is 42312212240441.

It is a junction number, because it is equal to n+sod(n) for n = 144042212213197 and 144042212213206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102181376 + ... + 103581455.

It is an arithmetic number, because the mean of its divisors is an integer number (2902799152440).

Almost surely, 2144042212213240 is an apocalyptic number.

144042212213240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144042212213240 is an abundant number, since it is smaller than the sum of its proper divisors (227516079299080).

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

144042212213240 is a wasteful number, since it uses less digits than its factorization.

144042212213240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205762933 (or 205762929 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 144042212213240 its reverse (42312212240441), we get a palindrome (186354424453681).

The spelling of 144042212213240 in words is "one hundred forty-four trillion, forty-two billion, two hundred twelve million, two hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 43 44 55 74 86 88 110 148 172 185 215 220 296 344 370 407 430 440 473 740 814 860 946 1480 1591 1628 1720 1892 2035 2365 3182 3256 3784 4070 4730 6364 7955 8140 9460 12728 15910 16280 17501 18920 31820 35002 63640 70004 87505 140008 175010 350020 700040 205762831 411525662 823051324 1028814155 1646102648 2057628310 2263391141 4115256620 4526782282 7613224747 8230513240 8847801733 9053564564 11316955705 15226449494 17695603466 18107129128 22633911410 30452898988 35391206932 38066123735 44239008665 45267822820 60905797976 70782413864 76132247470 83745472217 88478017330 90535645640 97325819063 152264494940 167490944434 176956034660 194651638126 304528989880 327368664121 334981888868 353912069320 389303276252 418727361085 486629095315 654737328242 669963777736 778606552504 837454722170 973258190630 1309474656484 1636843320605 1674909444340 1946516381260 2618949312968 3273686641210 3349818888680 3601055305331 3893032762520 6547373282420 7202110610662 13094746564840 14404221221324 18005276526655 28808442442648 36010553053310 72021106106620 144042212213240