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132130240441410 = 235231519103139313
BaseRepresentation
bin11110000010101111111000…
…000010111010110001000010
3122022211112020122020001222010
4132002233320002322301002
5114304310213023111120
61145003443335353350
736555044350535331
oct3602577002726102
9568745218201863
10132130240441410
1139112136112352
121299b886222856
135895a9c767ab3
14248b1d0025d18
1510420265817e0
hex782bf80bac42

132130240441410 has 128 divisors (see below), whose sum is σ = 333130454286336. Its totient is φ = 33475670553600.

The previous prime is 132130240441403. The next prime is 132130240441469. The reversal of 132130240441410 is 14144042031231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 948371914 + ... + 948511226.

It is an arithmetic number, because the mean of its divisors is an integer number (2602581674112).

Almost surely, 2132130240441410 is an apocalyptic number.

132130240441410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132130240441410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166565227143168).

132130240441410 is an abundant number, since it is smaller than the sum of its proper divisors (201000213844926).

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

132130240441410 is a wasteful number, since it uses less digits than its factorization.

132130240441410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148600.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 132130240441410 its reverse (14144042031231), we get a palindrome (146274282472641).

The spelling of 132130240441410 in words is "one hundred thirty-two trillion, one hundred thirty billion, two hundred forty million, four hundred forty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 151 230 302 345 453 690 755 906 1510 2265 3473 4530 6946 9103 10419 17365 18206 20838 27309 34730 45515 52095 54618 91030 104190 136545 139313 209369 273090 278626 417939 418738 628107 696565 835878 1046845 1256214 1374553 1393130 2089695 2093690 2749106 3140535 3204199 4123659 4179390 6281070 6408398 6872765 8247318 9612597 13745530 16020995 19225194 20618295 21036263 31614719 32041990 41236590 42072526 48062985 63108789 63229438 94844157 96125970 105181315 126217578 158073595 189688314 210362630 315543945 316147190 474220785 483834049 631087890 948441570 967668098 1268166239 1451502147 2419170245 2536332478 2903004294 3804498717 4838340490 6340831195 7257510735 7608997434 12681662390 14515021470 19022493585 29167823497 38044987170 58335646994 87503470491 145839117485 175006940982 191493102089 291678234970 382986204178 437517352455 574479306267 875034704910 957465510445 1148958612534 1914931020890 2872396531335 4404341348047 5744793062670 8808682696094 13213024044141 22021706740235 26426048088282 44043413480470 66065120220705 132130240441410