Search a number
-
+
144255515101410 = 23543961335834987
BaseRepresentation
bin100000110011001100011010…
…101111000000100011100010
3200220202200200212200021111210
4200303030122233000203202
5122401440243331221120
61230450022504250550
742246055066600626
oct4063143257004342
9626680625607453
10144255515101410
1141a674695a5409
1214219828170a56
13626531006851b
14278a00b6a7186
1511a263c564ce0
hex83331abc08e2

144255515101410 has 128 divisors (see below), whose sum is σ = 347734667427840. Its totient is φ = 38299523901696.

The previous prime is 144255515101403. The next prime is 144255515101429. The reversal of 144255515101410 is 14101515552441.

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, 28926308937 + ... + 28926313923.

It is an arithmetic number, because the mean of its divisors is an integer number (2716677089280).

Almost surely, 2144255515101410 is an apocalyptic number.

144255515101410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144255515101410 is an abundant number, since it is smaller than the sum of its proper divisors (203479152326430).

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

144255515101410 is a wasteful number, since it uses less digits than its factorization.

144255515101410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9632.

The product of its (nonzero) digits is 80000, while the sum is 39.

The spelling of 144255515101410 in words is "one hundred forty-four trillion, two hundred fifty-five billion, five hundred fifteen million, one hundred one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 439 613 878 1226 1317 1839 2195 2634 3065 3583 3678 4390 4987 6130 6585 7166 9195 9974 10749 13170 14961 17915 18390 21498 24935 29922 35830 49870 53745 74805 107490 149610 269107 538214 807321 1345535 1572937 1614642 2189293 2196379 2691070 3057031 3145874 4036605 4378586 4392758 4718811 6114062 6567879 6589137 7864685 8073210 9171093 9437622 10946465 10981895 13135758 13178274 15285155 15729370 17868421 18342186 21892930 21963790 23594055 30570310 32839395 32945685 35736842 45855465 47188110 53605263 65678790 65891370 89342105 91710930 107210526 178684210 268026315 536052630 964210381 1342036609 1928420762 2684073218 2892631143 4026109827 4821051905 5785262286 6710183045 7844236819 8052219654 9642103810 10953342073 13420366090 14463155715 15688473638 20130549135 21906684146 23532710457 28926311430 32860026219 39221184095 40261098270 47065420914 54766710365 65720052438 78442368190 109533420730 117663552285 164300131095 235327104570 328600262190 4808517170047 9617034340094 14425551510141 24042585850235 28851103020282 48085171700470 72127757550705 144255515101410