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42003233140 = 2251117103109037
BaseRepresentation
bin100111000111100101…
…100111100101110100
311000102021111022202111
4213013211213211310
51142010311430030
631143535020404
73014610406441
oct470745474564
9130367438674
1042003233140
11168a4803820
12818296a704
133c650bc40b
1420666689c8
15115c7d762a
hex9c7967974

42003233140 has 96 divisors (see below), whose sum is σ = 102876044544. Its totient is φ = 14235740160.

The previous prime is 42003233131. The next prime is 42003233183. The reversal of 42003233140 is 4133230024.

It is a happy number.

It is a super-3 number, since 3×420032331403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330702 + ... + 439738.

It is an arithmetic number, because the mean of its divisors is an integer number (1071625464).

Almost surely, 242003233140 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 42003233140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51438022272).

42003233140 is an abundant number, since it is smaller than the sum of its proper divisors (60872811404).

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

42003233140 is a wasteful number, since it uses less digits than its factorization.

42003233140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109177 (or 109175 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 42003233140 its reverse (4133230024), we get a palindrome (46136463164).

The spelling of 42003233140 in words is "forty-two billion, three million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 103 110 170 187 206 220 340 374 412 515 748 935 1030 1133 1751 1870 2060 2266 3502 3740 4532 5665 7004 8755 11330 17510 19261 22660 35020 38522 77044 96305 109037 192610 218074 385220 436148 545185 1090370 1199407 1853629 2180740 2398814 3707258 4797628 5997035 7414516 9268145 11230811 11994070 18536290 20389919 22461622 23988140 37072580 40779838 44923244 56154055 81559676 101949595 112308110 123538921 190923787 203899190 224616220 247077842 381847574 407798380 494155684 617694605 763695148 954618935 1235389210 1909237870 2100161657 2470778420 3818475740 4200323314 8400646628 10500808285 21001616570 42003233140