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242012151640 = 23571755219209
BaseRepresentation
bin1110000101100100001…
…1000101111101011000
3212010200020120010010201
43201121003011331120
512431120102323030
6303102344151544
723325200230060
oct3413103057530
9763606503121
10242012151640
1193700606586
123aaa14685b4
1319a8b211abc
14b9db9cc3a0
15646691e2ca
hex38590c5f58

242012151640 has 128 divisors (see below), whose sum is σ = 659114755200. Its totient is φ = 78072053760.

The previous prime is 242012151599. The next prime is 242012151643. The reversal of 242012151640 is 46151210242.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 242012151599 and 242012151608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242012151643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26275356 + ... + 26284564.

It is an arithmetic number, because the mean of its divisors is an integer number (5149334025).

Almost surely, 2242012151640 is an apocalyptic number.

242012151640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242012151640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329557377600).

242012151640 is an abundant number, since it is smaller than the sum of its proper divisors (417102603560).

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

242012151640 is a wasteful number, since it uses less digits than its factorization.

242012151640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14765 (or 14761 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 242012151640 its reverse (46151210242), we get a palindrome (288163361882).

The spelling of 242012151640 in words is "two hundred forty-two billion, twelve million, one hundred fifty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 5521 9209 11042 18418 22084 27605 36836 38647 44168 46045 55210 64463 73672 77294 92090 93857 110420 128926 154588 156553 184180 187714 193235 220840 257852 309176 313106 322315 368360 375428 386470 469285 515704 626212 644630 656999 750856 772940 782765 938570 1095871 1252424 1289260 1313998 1545880 1565530 1877140 2191742 2578520 2627996 3131060 3284995 3754280 4383484 5255992 5479355 6262120 6569990 8766968 10958710 13139980 21917420 26279960 43834840 50842889 101685778 203371556 254214445 355900223 406743112 508428890 711800446 864329113 1016857780 1423600892 1728658226 1779501115 2033715560 2847201784 3457316452 3559002230 4321645565 6050303791 6914632904 7118004460 8643291130 12100607582 14236008920 17286582260 24201215164 30251518955 34573164520 48402430328 60503037910 121006075820 242012151640