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74142046000 = 2453113370093
BaseRepresentation
bin100010100001100110…
…1011101011100110000
321002101002100011210201
41011003031131130300
52203320330433000
654021013204544
75233210664341
oct1050315353460
9232332304721
1074142046000
1129497285590
1212452030754
136cb7611749
143834b840c8
151dde09396a
hex114335d730

74142046000 has 80 divisors (see below), whose sum is σ = 195573295008. Its totient is φ = 26960736000.

The previous prime is 74142045979. The next prime is 74142046007. The reversal of 74142046000 is 64024147.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×741420460002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 74142046000.

It is not an unprimeable number, because it can be changed into a prime (74142046007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1663047 + ... + 1707046.

Almost surely, 274142046000 is an apocalyptic number.

It is an amenable number.

74142046000 is an abundant number, since it is smaller than the sum of its proper divisors (121431249008).

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

74142046000 is a wasteful number, since it uses less digits than its factorization.

74142046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370127 (or 3370111 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 74142046000 in words is "seventy-four billion, one hundred forty-two million, forty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 3370093 6740186 13480372 16850465 26960744 33700930 37071023 53921488 67401860 74142046 84252325 134803720 148284092 168504650 185355115 269607440 296568184 337009300 370710230 421261625 593136368 674018600 741420460 842523250 926775575 1348037200 1482840920 1685046500 1853551150 2965681840 3370093000 3707102300 4633877875 6740186000 7414204600 9267755750 14828409200 18535511500 37071023000 74142046000