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148400414683020 = 223252337968797589
BaseRepresentation
bin100001101111100000101010…
…000000000110111110001100
3201110102221102001111101121200
4201233200222000012332030
5123422343022124324040
61243342113115225500
743154401421663613
oct4157405200067614
9643387361441550
10148400414683020
1143315298330315
1214788bb2748290
1364a6139825756
142890892c3687a
15122537e45e630
hex86f82a006f8c

148400414683020 has 144 divisors (see below), whose sum is σ = 482414697535680. Its totient is φ = 36829809105408.

The previous prime is 148400414683007. The next prime is 148400414683039. The reversal of 148400414683020 is 20386414004841.

148400414683020 is a `hidden beast` number, since 1 + 4 + 8 + 400 + 4 + 146 + 83 + 0 + 20 = 666.

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

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, 484245615 + ... + 484551974.

It is an arithmetic number, because the mean of its divisors is an integer number (3350102066220).

Almost surely, 2148400414683020 is an apocalyptic number.

148400414683020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148400414683020 is an abundant number, since it is smaller than the sum of its proper divisors (334014282852660).

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

148400414683020 is a wasteful number, since it uses less digits than its factorization.

148400414683020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968797664 (or 968797659 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

Adding to 148400414683020 its reverse (20386414004841), we get a palindrome (168786828687861).

The spelling of 148400414683020 in words is "one hundred forty-eight trillion, four hundred billion, four hundred fourteen million, six hundred eighty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 37 45 46 60 69 74 90 92 111 115 138 148 180 185 207 222 230 276 333 345 370 414 444 460 555 666 690 740 828 851 1035 1110 1332 1380 1665 1702 2070 2220 2553 3330 3404 4140 4255 5106 6660 7659 8510 10212 12765 15318 17020 25530 30636 38295 51060 76590 153180 968797589 1937595178 2906392767 3875190356 4843987945 5812785534 8719178301 9687975890 11625571068 14531963835 17438356602 19375951780 22282344547 29063927670 34876713204 35845510793 43595891505 44564689094 58127855340 66847033641 71691021586 87191783010 89129378188 107536532379 111411722735 133694067282 143382043172 174383566020 179227553965 200541100923 215073064758 222823445470 267388134564 322609597137 334235168205 358455107930 401082201846 430146129516 445646890940 537682661895 645219194274 668470336410 716910215860 802164403692 824446748239 1002705504615 1075365323790 1290438388548 1336940672820 1613047985685 1648893496478 2005411009230 2150730647580 2473340244717 3226095971370 3297786992956 4010822018460 4122233741195 4946680489434 6452191942740 7420020734151 8244467482390 9893360978868 12366701223585 14840041468302 16488934964780 24733402447170 29680082936604 37100103670755 49466804894340 74200207341510 148400414683020