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142550213004 = 2232237911171951
BaseRepresentation
bin1000010011000010100…
…1111010000110001100
3111121221120101010022200
42010300221322012030
54313420323304004
6145253041441500
713204345550433
oct2046051720614
9447846333280
10142550213004
11555009739a1
1223763940290
131059a022784
146c841d011a
153a94a6a239
hex2130a7a18c

142550213004 has 144 divisors (see below), whose sum is σ = 381297745920. Its totient is φ = 44812310400.

The previous prime is 142550212993. The next prime is 142550213021. The reversal of 142550213004 is 400312055241.

142550213004 is a `hidden beast` number, since 1 + 4 + 25 + 502 + 130 + 0 + 4 = 666.

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, 73064229 + ... + 73066179.

Almost surely, 2142550213004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142550213004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190648872960).

142550213004 is an abundant number, since it is smaller than the sum of its proper divisors (238747532916).

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

142550213004 is a wasteful number, since it uses less digits than its factorization.

142550213004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 142550213004 its reverse (400312055241), we get a palindrome (542862268245).

The spelling of 142550213004 in words is "one hundred forty-two billion, five hundred fifty million, two hundred thirteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 79 92 138 158 207 237 276 316 414 474 711 828 948 1117 1422 1817 1951 2234 2844 3351 3634 3902 4468 5451 5853 6702 7268 7804 10053 10902 11706 13404 16353 17559 20106 21804 23412 25691 32706 35118 40212 44873 51382 65412 70236 77073 88243 89746 102764 134619 154129 154146 176486 179492 231219 264729 269238 308258 308292 352972 403857 462387 462438 529458 538476 616516 794187 807714 924774 924876 1058916 1387161 1588374 1615428 1849548 2029589 2179267 2774322 3176748 3544967 4059178 4358534 5548644 6088767 6537801 7089934 8118356 8717068 10634901 12177534 13075602 14179868 18266301 19613403 21269802 24355068 26151204 31904703 36532602 39226806 42539604 50123141 63809406 73065204 78453612 100246282 127618812 150369423 172162093 200492564 300738846 344324186 451108269 516486279 601477692 688648372 902216538 1032972558 1549458837 1804433076 2065945116 3098917674 3959728139 6197835348 7919456278 11879184417 15838912556 23758368834 35637553251 47516737668 71275106502 142550213004