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42733213141240 = 23537120319239977
BaseRepresentation
bin10011011011101100110011…
…11111010100100011111000
312121022020220002122122112201
421231312121333110203320
521100120110031004430
6230515211143315544
712000241600315636
oct1155663177244370
9177266802578481
1042733213141240
1112686065847106
124961b9674bbb4
131aac956250c5b
14a7a427324356
154e18c7a228ca
hex26dd99fd48f8

42733213141240 has 64 divisors (see below), whose sum is σ = 98749603123200. Its totient is φ = 16631097043968.

The previous prime is 42733213141231. The next prime is 42733213141247. The reversal of 42733213141240 is 4214131233724.

It is a happy number.

It is a super-2 number, since 2×427332131412402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 42733213141240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42733213141247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177952132 + ... + 178192108.

It is an arithmetic number, because the mean of its divisors is an integer number (1542962548800).

Almost surely, 242733213141240 is an apocalyptic number.

42733213141240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42733213141240 is an abundant number, since it is smaller than the sum of its proper divisors (56016389981960).

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

42733213141240 is a wasteful number, since it uses less digits than its factorization.

42733213141240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360344 (or 360340 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

Adding to 42733213141240 its reverse (4214131233724), we get a palindrome (46947344374964).

The spelling of 42733213141240 in words is "forty-two trillion, seven hundred thirty-three billion, two hundred thirteen million, one hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 120319 239977 240638 479954 481276 601595 959908 962552 1199885 1203190 1919816 2399770 2406380 4451803 4799540 4812760 8879149 8903606 9599080 17758298 17807212 22259015 35516596 35614424 44395745 44518030 71033192 88791490 89036060 177582980 178072120 355165960 28873792663 57747585326 115495170652 144368963315 230990341304 288737926630 577475853260 1068330328531 1154951706520 2136660657062 4273321314124 5341651642655 8546642628248 10683303285310 21366606570620 42733213141240