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144210131421024 = 25319173457009087
BaseRepresentation
bin100000110010100010001001…
…101010000000011101100000
3200220121100120000021102220110
4200302202021222000131200
5122400214322120433044
61230413115250411320
742242560330640634
oct4062421152003540
9626540500242813
10144210131421024
1141a4a19a700639
1214210a81290b40
136260c5980ac86
142787b440c0dc4
1511a13830d86b9
hex832889a80760

144210131421024 has 96 divisors (see below), whose sum is σ = 400778689812480. Its totient is φ = 45276804168192.

The previous prime is 144210131420981. The next prime is 144210131421053. The reversal of 144210131421024 is 420124131012441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 144210131420982 and 144210131421000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228188992 + ... + 228820095.

It is an arithmetic number, because the mean of its divisors is an integer number (4174778018880).

Almost surely, 2144210131421024 is an apocalyptic number.

It is an amenable number.

144210131421024 is an abundant number, since it is smaller than the sum of its proper divisors (256568558391456).

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

144210131421024 is a wasteful number, since it uses less digits than its factorization.

144210131421024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457009292 (or 457009284 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 144210131421024 its reverse (420124131012441), we get a palindrome (564334262433465).

The spelling of 144210131421024 in words is "one hundred forty-four trillion, two hundred ten billion, one hundred thirty-one million, four hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 173 228 304 346 456 519 608 692 912 1038 1384 1824 2076 2768 3287 4152 5536 6574 8304 9861 13148 16608 19722 26296 39444 52592 78888 105184 157776 315552 457009087 914018174 1371027261 1828036348 2742054522 3656072696 5484109044 7312145392 8683172653 10968218088 14624290784 17366345306 21936436176 26049517959 34732690612 43872872352 52099035918 69465381224 79062572051 104198071836 138930762448 158125144102 208396143672 237187716153 277861524896 316250288204 416792287344 474375432306 632500576408 833584574688 948750864612 1265001152816 1502188868969 1897501729224 2530002305632 3004377737938 3795003458448 4506566606907 6008755475876 7590006916896 9013133213814 12017510951752 18026266427628 24035021903504 36052532855256 48070043807008 72105065710512 144210131421024