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146647401430040 = 23571575107653207
BaseRepresentation
bin100001010110000000000010…
…010001001111110000011000
3201020020100120112210021202122
4201112000002101033300120
5123210132334231230130
61235520515225320412
742613632213124310
oct4126000221176030
9636210515707678
10146647401430040
11427a98a5021165
12145452ba036108
1363a9a37ca8644
14282dab4902440
1511e497e98a2e5
hex85600244fc18

146647401430040 has 128 divisors (see below), whose sum is σ = 379570076144640. Its totient is φ = 49949001063936.

The previous prime is 146647401430039. The next prime is 146647401430051. The reversal of 146647401430040 is 40034104746641.

It is a junction number, because it is equal to n+sod(n) for n = 146647401429973 and 146647401430000.

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, 224177117 + ... + 224830323.

It is an arithmetic number, because the mean of its divisors is an integer number (2965391219880).

Almost surely, 2146647401430040 is an apocalyptic number.

146647401430040 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 146647401430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189785038072320).

146647401430040 is an abundant number, since it is smaller than the sum of its proper divisors (232922674714600).

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

146647401430040 is a wasteful number, since it uses less digits than its factorization.

146647401430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658489 (or 658485 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 44.

The spelling of 146647401430040 in words is "one hundred forty-six trillion, six hundred forty-seven billion, four hundred one million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 157 280 314 628 785 1099 1256 1570 2198 3140 4396 5107 5495 6280 8792 10214 10990 20428 21980 25535 35749 40856 43960 51070 71498 102140 142996 178745 204280 285992 357490 653207 714980 801799 1306414 1429960 1603598 2612828 3207196 3266035 4008995 4572449 5225656 5612593 6414392 6532070 8017990 9144898 11225186 13064140 16035980 18289796 22450372 22862245 26128280 28062965 32071960 36579592 44900744 45724490 56125930 91448980 102553499 112251860 182897960 205106998 224503720 410213996 512767495 717874493 820427992 1025534990 1435748986 2051069980 2871497972 3335928149 3589372465 4102139960 5742995944 6671856298 7178744930 13343712596 14357489860 16679640745 23351497043 26687425192 28714979720 33359281490 46702994086 66718562980 93405988172 116757485215 133437125960 186811976344 233514970430 467029940860 523740719393 934059881720 1047481438786 2094962877572 2618703596965 3666185035751 4189925755144 5237407193930 7332370071502 10474814387860 14664740143004 18330925178755 20949628775720 29329480286008 36661850357510 73323700715020 146647401430040