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144034320131220 = 22352997853384999
BaseRepresentation
bin100000101111111110011010…
…011111001010010010010100
3200212222112202102022112211110
4200233332122133022102110
5122334324241423144340
61230200241520335020
742224064503430621
oct4057763237122224
9625875672275743
10144034320131220
1141991680824422
12141a2996474470
13624a4bb91b78c
14277d42671d348
15119b9e34ce680
hex82ff9a7ca494

144034320131220 has 96 divisors (see below), whose sum is σ = 421503919200000. Its totient is φ = 36702381993984.

The previous prime is 144034320131153. The next prime is 144034320131263. The reversal of 144034320131220 is 22131023430441.

It is a super-3 number, since 3×1440343201312203 (a number of 43 digits) contains 333 as substring.

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

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, 426523720 + ... + 426861279.

It is an arithmetic number, because the mean of its divisors is an integer number (4390665825000).

Almost surely, 2144034320131220 is an apocalyptic number.

144034320131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144034320131220 is an abundant number, since it is smaller than the sum of its proper divisors (277469599068780).

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

144034320131220 is a wasteful number, since it uses less digits than its factorization.

144034320131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853385137 (or 853385135 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 144034320131220 its reverse (22131023430441), we get a palindrome (166165343561661).

The spelling of 144034320131220 in words is "one hundred forty-four trillion, thirty-four billion, three hundred twenty million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 97 116 145 174 194 290 291 348 388 435 485 580 582 870 970 1164 1455 1740 1940 2813 2910 5626 5820 8439 11252 14065 16878 28130 33756 42195 56260 84390 168780 853384999 1706769998 2560154997 3413539996 4266924995 5120309994 8533849990 10240619988 12800774985 17067699980 24748164971 25601549970 49496329942 51203099940 74244494913 82778344903 98992659884 123740824855 148488989826 165556689806 247481649710 248335034709 296977979652 331113379612 371222474565 413891724515 494963299420 496670069418 742444949130 827783449030 993340138836 1241675173545 1484889898260 1655566898060 2400572002187 2483350347090 4801144004374 4966700694180 7201716006561 9602288008748 12002860010935 14403432013122 24005720021870 28806864026244 36008580032805 48011440043740 72017160065610 144034320131220