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145223535301240 = 235111814967367123
BaseRepresentation
bin100001000001010001111101…
…001111000001001001111000
3201001012020022212110112100111
4201001101331033001021320
5123013320300014114430
61232510434320514104
742406024404536644
oct4101217517011170
9631166285415314
10145223535301240
11422aaa56787090
121435536417b934
13630569ca47c86
1427c0bdc787c24
1511bc8e647ec2a
hex84147d3c1278

145223535301240 has 128 divisors (see below), whose sum is σ = 358500286609920. Its totient is φ = 52506082137600.

The previous prime is 145223535301193. The next prime is 145223535301289. The reversal of 145223535301240 is 42103535322541.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 145223535301193 and 145223535301202.

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, 395388319 + ... + 395755441.

It is an arithmetic number, because the mean of its divisors is an integer number (2800783489140).

Almost surely, 2145223535301240 is an apocalyptic number.

145223535301240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145223535301240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179250143304960).

145223535301240 is an abundant number, since it is smaller than the sum of its proper divisors (213276751308680).

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

145223535301240 is a wasteful number, since it uses less digits than its factorization.

145223535301240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372293 (or 372289 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 145223535301240 in words is "one hundred forty-five trillion, two hundred twenty-three billion, five hundred thirty-five million, three hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 181 220 362 440 724 905 1448 1810 1991 3620 3982 4967 7240 7964 9934 9955 15928 19868 19910 24835 39736 39820 49670 54637 79640 99340 109274 198680 218548 273185 367123 437096 546370 734246 899027 1092740 1468492 1798054 1835615 2185480 2936984 3596108 3671230 4038353 4495135 7192216 7342460 8076706 8990270 9889297 14684920 16153412 17980540 19778594 20191765 32306824 35961080 39557188 40383530 49446485 66449263 79114376 80767060 98892970 132898526 161534120 197785940 265797052 332246315 395571880 531594104 664492630 730941893 1328985260 1461883786 1823499941 2657970520 2923767572 3646999882 3654709465 5847535144 7293999764 7309418930 9117499705 14587999528 14618837860 18234999410 20058499351 29237675720 36469998820 40116998702 72939997640 80233997404 100292496755 160467994808 200584993510 330053489321 401169987020 660106978642 802339974040 1320213957284 1650267446605 2640427914568 3300534893210 3630588382531 6601069786420 7261176765062 13202139572840 14522353530124 18152941912655 29044707060248 36305883825310 72611767650620 145223535301240