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142504251102 = 23417377871777
BaseRepresentation
bin1000010010110111101…
…0100100111011011110
3111121211100220000110000
42010231322210323132
54313322042013402
6145244320355130
713203250101633
oct2045572447336
9447740800400
10142504251102
1155487a31054
1223750475aa6
131059064c395
146c7c06818a
153a909dbc1c
hex212dea4ede

142504251102 has 160 divisors (see below), whose sum is σ = 347872982688. Its totient is φ = 43419193344.

The previous prime is 142504251061. The next prime is 142504251103. The reversal of 142504251102 is 201152405241.

It is a happy number.

142504251102 is a `hidden beast` number, since 1 + 4 + 2 + 504 + 2 + 51 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142504251103) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80192838 + ... + 80194614.

Almost surely, 2142504251102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142504251102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173936491344).

142504251102 is an abundant number, since it is smaller than the sum of its proper divisors (205368731586).

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

142504251102 is a wasteful number, since it uses less digits than its factorization.

142504251102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 142504251102 its reverse (201152405241), we get a palindrome (343656656343).

The spelling of 142504251102 in words is "one hundred forty-two billion, five hundred four million, two hundred fifty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 81 102 111 153 162 222 306 333 459 629 666 787 918 999 1258 1377 1574 1777 1887 1998 2361 2754 2997 3554 3774 4722 5331 5661 5994 7083 10662 11322 13379 14166 15993 16983 21249 26758 29119 30209 31986 33966 40137 42498 47979 50949 58238 60418 63747 65749 80274 87357 90627 95958 101898 120411 127494 131498 143937 174714 181254 197247 240822 262071 271881 287874 361233 394494 495023 524142 543762 591741 722466 786213 815643 990046 1083699 1117733 1183482 1398499 1485069 1572426 1631286 1775223 2167398 2235466 2358639 2446929 2796998 2970138 3353199 3550446 4195497 4455207 4717278 4893858 5325669 6706398 8390994 8910414 10059597 10651338 12586491 13365621 20119194 23774483 25172982 26731242 30178791 37759473 40096863 47548966 51744463 60357582 71323449 75518946 80193726 90536373 103488926 113278419 142646898 155233389 181072746 213970347 226556838 310466778 427940694 465700167 641911041 879655871 931400334 1283822082 1397100501 1759311742 1925733123 2638967613 2794201002 3851466246 4191301503 5277935226 7916902839 8382603006 15833805678 23750708517 47501417034 71252125551 142504251102