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146106243404450 = 25273119170502687
BaseRepresentation
bin100001001110001000000010…
…101111001101001010100010
3201011022121202022111020112222
4201032020002233031022202
5123122301041302420300
61234424140454551042
742526553625606140
oct4116100257151242
9634277668436488
10146106243404450
114261034546898a
1214478451368482
13636a9b4bbc294
1428118193ca590
1511d585a876785
hex84e202bcd2a2

146106243404450 has 96 divisors (see below), whose sum is σ = 322277375213568. Its totient is φ = 48223837224000.

The previous prime is 146106243404447. The next prime is 146106243404461. The reversal of 146106243404450 is 54404342601641.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33178994 + ... + 37323693.

It is an arithmetic number, because the mean of its divisors is an integer number (3357055991808).

Almost surely, 2146106243404450 is an apocalyptic number.

146106243404450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146106243404450 is an abundant number, since it is smaller than the sum of its proper divisors (176171131809118).

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

146106243404450 is a wasteful number, since it uses less digits than its factorization.

146106243404450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70502928 (or 70502923 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 146106243404450 in words is "one hundred forty-six trillion, one hundred six billion, two hundred forty-three million, four hundred four thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 31 35 50 62 70 155 175 191 217 310 350 382 434 775 955 1085 1337 1550 1910 2170 2674 4775 5425 5921 6685 9550 10850 11842 13370 29605 33425 41447 59210 66850 82894 148025 207235 296050 414470 1036175 2072350 70502687 141005374 352513435 493518809 705026870 987037618 1762567175 2185583297 2467594045 3525134350 4371166594 4935188090 10927916485 12337970225 13466013217 15299083079 21855832970 24675940450 26932026434 30598166158 54639582425 67330066085 76495415395 94262092519 109279164850 134660132170 152990830790 188524185038 336650330425 382477076975 417446409727 471310462595 673300660850 764954153950 834892819454 942620925190 2087232048635 2356552312975 2922124868089 4174464097270 4713104625950 5844249736178 10436160243175 14610624340445 20872320486350 29221248680890 73053121702225 146106243404450