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1342121304304 = 241129477877109
BaseRepresentation
bin10011100001111100101…
…010011110000011110000
311202022020202000102011201
4103201330222132003300
5133442131023214204
62504321221220544
7165652005600004
oct23417452360360
94668222012151
101342121304304
1147821053a590
12198141861754
139973b7b6841
1448d5d78a704
1524da1c819a4
hex1387ca9e0f0

1342121304304 has 160 divisors (see below), whose sum is σ = 3001243622400. Its totient is φ = 575672939520.

The previous prime is 1342121304287. The next prime is 1342121304343. The reversal of 1342121304304 is 4034031212431.

It is a happy number.

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, 188788302 + ... + 188795410.

It is an arithmetic number, because the mean of its divisors is an integer number (18757772640).

Almost surely, 21342121304304 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 1342121304304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500621811200).

1342121304304 is an abundant number, since it is smaller than the sum of its proper divisors (1659122318096).

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

1342121304304 is a wasteful number, since it uses less digits than its factorization.

1342121304304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7991 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1342121304304 its reverse (4034031212431), we get a palindrome (5376152516735).

The spelling of 1342121304304 in words is "one trillion, three hundred forty-two billion, one hundred twenty-one million, three hundred four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 29 44 47 58 88 94 116 176 188 232 319 376 464 517 638 752 787 1034 1276 1363 1574 2068 2552 2726 3148 4136 5104 5452 6296 7109 8272 8657 10904 12592 14218 14993 17314 21808 22823 28436 29986 34628 36989 45646 56872 59972 69256 73978 78199 91292 113744 119944 138512 147956 156398 182584 206161 239888 251053 295912 312796 334123 365168 406879 412322 502106 591824 625592 668246 813758 824644 1004212 1072681 1251184 1336492 1627516 1649288 2008424 2145362 2267771 2672984 3255032 3298576 3675353 4016848 4290724 4535542 5345968 5594783 6510064 7350706 8581448 9071084 9689567 11189566 11799491 14701412 17162896 18142168 19379134 22379132 23598982 29402824 36284336 38758268 44758264 47197964 58805648 61542613 77516536 89516528 94395928 106585237 123085226 155033072 162248707 188791856 213170474 246170452 262954801 324497414 426340948 492340904 525909602 648994828 852681896 984681808 1051819204 1297989656 1705363792 1784735777 2103638408 2595979312 2892502811 3569471554 4207276816 5785005622 7138943108 7625689229 11570011244 14277886216 15251378458 23140022488 28555772432 30502756916 46280044976 61005513832 83882581519 122011027664 167765163038 335530326076 671060652152 1342121304304