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132002040202224 = 24331468531893391
BaseRepresentation
bin11110000000111000011110…
…101101110100001111110000
3122022101021100010212011001020
4132000320132231310033300
5114300210134242432344
61144424522231335440
736542555416511133
oct3600703655641760
9568337303764036
10132002040202224
1139072829454155
121297aa68221580
13588697b6cb4ba
142484d0b9b021a
15103da2172a719
hex780e1eb743f0

132002040202224 has 80 divisors (see below), whose sum is σ = 352013139431424. Its totient is φ = 42580371974400.

The previous prime is 132002040202133. The next prime is 132002040202231. The reversal of 132002040202224 is 422202040200231.

It is a super-2 number, since 2×1320020402022242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132002040202194 and 132002040202203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68770569 + ... + 70663959.

Almost surely, 2132002040202224 is an apocalyptic number.

It is an amenable number.

132002040202224 is an abundant number, since it is smaller than the sum of its proper divisors (220011099229200).

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

132002040202224 is a wasteful number, since it uses less digits than its factorization.

132002040202224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940286 (or 1940280 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 132002040202224 its reverse (422202040200231), we get a palindrome (554204080402455).

The spelling of 132002040202224 in words is "one hundred thirty-two trillion, two billion, forty million, two hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 46853 93706 140559 187412 281118 374824 562236 749648 1124472 1452443 1893391 2248944 2904886 3786782 4357329 5680173 5809772 7573564 8714658 11360346 11619544 15147128 17429316 22720692 23239088 30294256 34858632 45441384 58695121 69717264 90882768 117390242 176085363 234780484 352170726 469560968 704341452 939121936 1408682904 2817365808 88711048523 177422097046 266133145569 354844194092 532266291138 709688388184 1064532582276 1419376776368 2129065164552 2750042504213 4258130329104 5500085008426 8250127512639 11000170016852 16500255025278 22000340033704 33000510050556 44000680067408 66001020101112 132002040202224