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42240311000 = 2353532413307
BaseRepresentation
bin100111010101101101…
…111111111011011000
311001000210121010102222
4213111231333323120
51143002004423000
631223244243212
73023516501516
oct472555777330
9131023533388
1042240311000
1116a06610938
12822a240508
133ca2259184
142089d3d4b6
151173517a85
hex9d5b7fed8

42240311000 has 128 divisors (see below), whose sum is σ = 101155728960. Its totient is φ = 16503552000.

The previous prime is 42240310993. The next prime is 42240311023. The reversal of 42240311000 is 11304224.

It is a super-3 number, since 3×422403110003 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42240311000.

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, 12771347 + ... + 12774653.

Almost surely, 242240311000 is an apocalyptic number.

42240311000 is a gapful number since it is divisible by the number (40) 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 42240311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50577864480).

42240311000 is an abundant number, since it is smaller than the sum of its proper divisors (58915417960).

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

42240311000 is a wasteful number, since it uses less digits than its factorization.

42240311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 42240311000 its reverse (11304224), we get a palindrome (42251615224).

The spelling of 42240311000 in words is "forty-two billion, two hundred forty million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 241 250 265 424 482 500 530 964 1000 1060 1205 1325 1928 2120 2410 2650 3307 4820 5300 6025 6614 6625 9640 10600 12050 12773 13228 13250 16535 24100 25546 26456 26500 30125 33070 48200 51092 53000 60250 63865 66140 82675 102184 120500 127730 132280 165350 175271 241000 255460 319325 330700 350542 413375 510920 638650 661400 701084 796987 826750 876355 1277300 1402168 1593974 1596625 1653500 1752710 2554600 3187948 3193250 3307000 3505420 3984935 4381775 6375896 6386500 7010840 7969870 8763550 12773000 15939740 17527100 19924675 21908875 31879480 35054200 39849350 42240311 43817750 79698700 84480622 87635500 99623375 159397400 168961244 175271000 199246750 211201555 337922488 398493500 422403110 796987000 844806220 1056007775 1689612440 2112015550 4224031100 5280038875 8448062200 10560077750 21120155500 42240311000