Search a number
-
+
40142300131230 = 235112344931177129
BaseRepresentation
bin10010010000010010110111…
…00010100010111110011110
312021010120021220201122221020
421020021123202202332132
520230142412313144410
6221213041301545010
711312120422152003
oct1110113342427636
9167116256648836
1040142300131230
1111877287a09910
124603a1b115166
13195253084954b
149cac7d3ab8aa
154992d7838a70
hex24825b8a2f9e

40142300131230 has 128 divisors (see below), whose sum is σ = 109693900753920. Its totient is φ = 9306279797760.

The previous prime is 40142300131223. The next prime is 40142300131267. The reversal of 40142300131230 is 3213100324104.

It is a happy number.

It is a super-2 number, since 2×401423001312302 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40142300131230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33513306 + ... + 34690434.

It is an arithmetic number, because the mean of its divisors is an integer number (856983599640).

Almost surely, 240142300131230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40142300131230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54846950376960).

40142300131230 is an abundant number, since it is smaller than the sum of its proper divisors (69551600622690).

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

40142300131230 is a wasteful number, since it uses less digits than its factorization.

40142300131230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181666.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 40142300131230 its reverse (3213100324104), we get a palindrome (43355400455334).

The spelling of 40142300131230 in words is "forty trillion, one hundred forty-two billion, three hundred million, one hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 2530 3795 4493 7590 8986 13479 22465 26958 44930 49423 67395 98846 103339 134790 148269 206678 247115 296538 310017 494230 516695 620034 741345 1033390 1136729 1177129 1482690 1550085 2273458 2354258 3100170 3410187 3531387 5683645 5885645 6820374 7062774 11367290 11771290 12948419 17050935 17656935 25896838 27073967 34101870 35313870 38845257 54147934 64742095 77690514 81221901 129484190 135369835 162443802 194226285 270739670 297813637 388452570 406109505 595627274 812219010 893440911 1489068185 1786881822 2978136370 4467204555 5288840597 8934409110 10577681194 15866521791 26444202985 31733043582 52888405970 58177246567 79332608955 116354493134 121643333731 158665217910 174531739701 243286667462 290886232835 349063479402 364930001193 581772465670 608216668655 729860002386 872658698505 1216433337310 1338076671041 1745317397010 1824650005965 2676153342082 3649300011930 4014230013123 6690383355205 8028460026246 13380766710410 20071150065615 40142300131230