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2134011020240 = 2451137138147459
BaseRepresentation
bin11111000011011100111…
…110000000001111010000
321120000020220020000222002
4133003130332000033100
5234430423310121430
64312203502133132
7310114532245001
oct37033476001720
97500226200862
102134011020240
11753035650880
122a5703b811a8
1312630c418658
147540293b1a8
153a79d041845
hex1f0dcf803d0

2134011020240 has 160 divisors (see below), whose sum is σ = 5563057691520. Its totient is φ = 754468300800.

The previous prime is 2134011020191. The next prime is 2134011020249. The reversal of 2134011020240 is 420201104312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134011020249) 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, 44941631 + ... + 44989089.

It is an arithmetic number, because the mean of its divisors is an integer number (34769110572).

Almost surely, 22134011020240 is an apocalyptic number.

2134011020240 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 2134011020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781528845760).

2134011020240 is an abundant number, since it is smaller than the sum of its proper divisors (3429046671280).

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

2134011020240 is a wasteful number, since it uses less digits than its factorization.

2134011020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48901 (or 48895 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2134011020240 its reverse (420201104312), we get a palindrome (2554212124552).

The spelling of 2134011020240 in words is "two trillion, one hundred thirty-four billion, eleven million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 370 407 440 592 740 814 880 1381 1480 1628 2035 2762 2960 3256 4070 5524 6512 6905 8140 11048 13810 15191 16280 22096 27620 30382 32560 47459 51097 55240 60764 75955 94918 102194 110480 121528 151910 189836 204388 237295 243056 255485 303820 379672 408776 474590 510970 522049 562067 607640 759344 817552 949180 1021940 1044098 1124134 1215280 1755983 1898360 2043880 2088196 2248268 2610245 2810335 3511966 3796720 4087760 4176392 4496536 5220490 5620670 7023932 8352784 8779915 8993072 10440980 11241340 14047864 17559830 19315813 20881960 22482680 28095728 35119660 38631626 41763920 44965360 65540879 70239320 77263252 96579065 131081758 140478640 154526504 193158130 262163516 309053008 327704395 386316260 524327032 655408790 720949669 772632520 1048654064 1310817580 1441899338 1545265040 2425012523 2621635160 2883798676 3604748345 4850025046 5243270320 5767597352 7209496690 9700050092 11535194704 12125062615 14418993380 19400100184 24250125230 26675137753 28837986760 38800200368 48500250460 53350275506 57675973520 97000500920 106700551012 133375688765 194001001840 213401102024 266751377530 426802204048 533502755060 1067005510120 2134011020240