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148285885140 = 22355275311083
BaseRepresentation
bin1000101000011010000…
…1110000101011010100
3112011202022001110100000
42022012201300223110
54412142141311030
6152042133051300
713466443140561
oct2120641605324
9464668043300
10148285885140
11579845752a8
12248a4786b30
1310ca2400403
147269c73868
153ccd38d860
hex2286870ad4

148285885140 has 144 divisors (see below), whose sum is σ = 466671336768. Its totient is φ = 39524972544.

The previous prime is 148285885123. The next prime is 148285885157. The reversal of 148285885140 is 41588582841.

148285885140 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 8 + 588 + 51 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (148285885123) and next prime (148285885157).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13374039 + ... + 13385121.

It is an arithmetic number, because the mean of its divisors is an integer number (3240773172).

Almost surely, 2148285885140 is an apocalyptic number.

148285885140 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 148285885140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233335668384).

148285885140 is an abundant number, since it is smaller than the sum of its proper divisors (318385451628).

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

148285885140 is a wasteful number, since it uses less digits than its factorization.

148285885140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13860 (or 13846 counting only the distinct ones).

The product of its (nonzero) digits is 3276800, while the sum is 54.

The spelling of 148285885140 in words is "one hundred forty-eight billion, two hundred eighty-five million, eight hundred eighty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 2753 4860 5506 8259 11012 11083 13765 16518 22166 24777 27530 33036 33249 41295 44332 49554 55060 55415 66498 74331 82590 99108 99747 110830 123885 132996 148662 165180 166245 199494 221660 222993 247770 297324 299241 332490 371655 398988 445986 495540 498735 598482 664980 668979 743310 891972 897723 997470 1114965 1196964 1337958 1486620 1496205 1795446 1994940 2229930 2675916 2693169 2992410 3344895 3590892 4459860 4488615 5386338 5984820 6689790 8977230 10772676 13379580 13465845 17954460 26931690 30511499 53863380 61022998 91534497 122045996 152557495 183068994 274603491 305114990 366137988 457672485 549206982 610229980 823810473 915344970 1098413964 1373017455 1647620946 1830689940 2471431419 2746034910 3295241892 4119052365 4942862838 5492069820 7414294257 8238104730 9885725676 12357157095 14828588514 16476209460 24714314190 29657177028 37071471285 49428628380 74142942570 148285885140