Search a number
-
+
402113021442 = 2311731514491231
BaseRepresentation
bin1011101100111111100…
…11011100011000000010
31102102220221120222111020
411312133303130120002
523042011413141232
6504421141330310
741023510200246
oct5663763343002
91372827528436
10402113021442
11145598354710
1265b22a06996
132bbc43380a2
1415668a7c426
15a6d7183e2c
hex5d9fcdc602

402113021442 has 128 divisors (see below), whose sum is σ = 897968332800. Its totient is φ = 119024640000.

The previous prime is 402113021423. The next prime is 402113021449. The reversal of 402113021442 is 244120311204.

It is not an unprimeable number, because it can be changed into a prime (402113021449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326654967 + ... + 326656197.

It is an arithmetic number, because the mean of its divisors is an integer number (7015377600).

Almost surely, 2402113021442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402113021442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448984166400).

402113021442 is an abundant number, since it is smaller than the sum of its proper divisors (495855311358).

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

402113021442 is a wasteful number, since it uses less digits than its factorization.

402113021442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 402113021442 its reverse (244120311204), we get a palindrome (646233332646).

The spelling of 402113021442 in words is "four hundred two billion, one hundred thirteen million, twenty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 73 146 151 219 302 438 449 453 803 898 906 1231 1347 1606 1661 2409 2462 2694 3322 3693 4818 4939 4983 7386 9878 9966 11023 13541 14817 22046 27082 29634 32777 33069 40623 65554 66138 67799 81246 89863 98331 121253 135598 179726 185881 196662 203397 242506 269589 360547 363759 371762 406794 539178 552719 557643 721094 727518 745789 988493 1081641 1105438 1115286 1491578 1658157 1976986 2044691 2163282 2237367 2965479 3316314 4089382 4474734 4949327 5930958 6079909 6134073 9898654 12159818 12268146 13569313 14847981 18239727 27138626 29695962 36479454 40348487 40707939 54442597 80696974 81415878 83460569 108885194 121045461 149262443 163327791 166921138 242090922 250381707 298524886 326655582 443833357 447787329 500763414 887666714 895574658 918066259 1331500071 1836132518 2663000142 2754198777 5508397554 6092621537 12185243074 18277864611 36555729222 67018836907 134037673814 201056510721 402113021442