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1014134034030 = 23513101130319759
BaseRepresentation
bin11101100000111110001…
…10010100111001101110
310120221122202002202011220
432300133012110321232
5113103421303042110
62053515311524210
7133161121026225
oct16603706247156
93527582082156
101014134034030
11361101250957
12144667529666
137482b5a63a0
143712764dcbc
151b5a7523370
hexec1f194e6e

1014134034030 has 128 divisors (see below), whose sum is σ = 2649263984640. Its totient is φ = 246959193600.

The previous prime is 1014134034013. The next prime is 1014134034071. The reversal of 1014134034030 is 304304314101.

It is a super-2 number, since 2×10141340340302 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51315291 + ... + 51335049.

It is an arithmetic number, because the mean of its divisors is an integer number (20697374880).

Almost surely, 21014134034030 is an apocalyptic number.

1014134034030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014134034030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324631992320).

1014134034030 is an abundant number, since it is smaller than the sum of its proper divisors (1635129950610).

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

1014134034030 is a wasteful number, since it uses less digits than its factorization.

1014134034030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21186.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1014134034030 its reverse (304304314101), we get a palindrome (1318438348131).

The spelling of 1014134034030 in words is "one trillion, fourteen billion, one hundred thirty-four million, thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 101 130 195 202 303 390 505 606 1010 1303 1313 1515 2606 2626 3030 3909 3939 6515 6565 7818 7878 13030 13130 16939 19545 19695 19759 33878 39090 39390 39518 50817 59277 84695 98795 101634 118554 131603 169390 197590 254085 256867 263206 296385 394809 508170 513734 592770 658015 770601 789618 1284335 1316030 1541202 1710839 1974045 1995659 2568670 3421678 3853005 3948090 3991318 5132517 5986977 7706010 8554195 9978295 10265034 11973954 17108390 19956590 25662585 25745977 25943567 29934885 51325170 51491954 51887134 59869770 77237931 77830701 128729885 129717835 154475862 155661402 257459770 259435670 334697701 386189655 389153505 669395402 772379310 778307010 1004093103 1673488505 2008186206 2600343677 3346977010 5020465515 5200687354 7801031031 10040931030 13001718385 15602062062 26003436770 33804467801 39005155155 67608935602 78010310310 101413403403 169022339005 202826806806 338044678010 507067017015 1014134034030