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145012243544520 = 233511139790343599
BaseRepresentation
bin100000111110001101001011…
…010000111011100111001000
3201000110000221120202011122020
4200332031023100323213020
5123001340033321411040
61232225412141124440
742354534402332262
oct4076151320734710
9630400846664566
10145012243544520
1142229390023a40
1214320416b59720
1362bb79922b761
1427b48b6b6ab32
1511b717ba39cd0
hex83e34b43b9c8

145012243544520 has 128 divisors (see below), whose sum is σ = 477999809280000. Its totient is φ = 34901573287680.

The previous prime is 145012243544489. The next prime is 145012243544533. The reversal of 145012243544520 is 25445342210541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394988320 + ... + 395355279.

It is an arithmetic number, because the mean of its divisors is an integer number (3734373510000).

Almost surely, 2145012243544520 is an apocalyptic number.

145012243544520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145012243544520 is an abundant number, since it is smaller than the sum of its proper divisors (332987565735480).

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

145012243544520 is a wasteful number, since it uses less digits than its factorization.

145012243544520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790343763 (or 790343759 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 145012243544520 in words is "one hundred forty-five trillion, twelve billion, two hundred forty-three million, five hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 139 165 220 264 278 330 417 440 556 660 695 834 1112 1320 1390 1529 1668 2085 2780 3058 3336 4170 4587 5560 6116 7645 8340 9174 12232 15290 16680 18348 22935 30580 36696 45870 61160 91740 183480 790343599 1580687198 2371030797 3161374396 3951717995 4742061594 6322748792 7903435990 8693779589 9484123188 11855153985 15806871980 17387559178 18968246376 23710307970 26081338767 31613743960 34775118356 43468897945 47420615940 52162677534 69550236712 86937795890 94841231880 104325355068 109857760261 130406693835 173875591780 208650710136 219715520522 260813387670 329573280783 347751183560 439431041044 521626775340 549288801305 659146561566 878862082088 1043253550680 1098577602610 1208435362871 1318293123132 1647866403915 2197155205220 2416870725742 2636586246264 3295732807830 3625306088613 4394310410440 4833741451484 6042176814355 6591465615660 7250612177226 9667482902968 12084353628710 13182931231320 14501224354452 18126530443065 24168707257420 29002448708904 36253060886130 48337414514840 72506121772260 145012243544520