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114555125453040 = 24325295486356583
BaseRepresentation
bin11010000010111111110001…
…100011110101000011110000
3120000121100210122201100200200
4122002333301203311003300
5110003332344103444130
61043345521554515200
733062222541155016
oct3202776143650360
9500540718640620
10114555125453040
1133556612966008
1210a21673895b00
134bbc66aacc20c
1420406d77d08b6
15d39c95b2d760
hex682ff18f50f0

114555125453040 has 120 divisors (see below), whose sum is σ = 397980306603360. Its totient is φ = 29494652984832.

The previous prime is 114555125453029. The next prime is 114555125453077. The reversal of 114555125453040 is 40354521555411.

114555125453040 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 5 + 51 + 25 + 4 + 530 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2743157412 + ... + 2743199171.

It is an arithmetic number, because the mean of its divisors is an integer number (3316502555028).

Almost surely, 2114555125453040 is an apocalyptic number.

114555125453040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114555125453040 is an abundant number, since it is smaller than the sum of its proper divisors (283425181150320).

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

114555125453040 is a wasteful number, since it uses less digits than its factorization.

114555125453040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486356631 (or 5486356622 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 114555125453040 in words is "one hundred fourteen trillion, five hundred fifty-five billion, one hundred twenty-five million, four hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6960 10440 20880 5486356583 10972713166 16459069749 21945426332 27431782915 32918139498 43890852664 49377209247 54863565830 65836278996 82295348745 87781705328 98754418494 109727131660 131672557992 159104340907 164590697490 197508836988 219454263320 246886046235 263345115984 318208681814 329181394980 395017673976 438908526640 477313022721 493772092470 636417363628 658362789960 790035347952 795521704535 954626045442 987544184940 1272834727256 1316725579920 1431939068163 1591043409070 1909252090884 1975088369880 2386565113605 2545669454512 2863878136326 3182086818140 3818504181768 3950176739760 4773130227210 5727756272652 6364173636280 7159695340815 7637008363536 9546260454420 11455512545304 12728347272560 14319390681630 19092520908840 22911025090608 28638781363260 38185041817680 57277562726520 114555125453040