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4134004232280 = 23351319139473827
BaseRepresentation
bin111100001010000101110…
…110101001000001011000
3112122012120212022000121020
4330022011312221001120
51020212420040413110
612443045121442440
7604446323122056
oct74120566510130
915565525260536
104134004232280
11135424868577a
125692457a0420
1323cab1444180
141041305411d6
157280562cd70
hex3c285da9058

4134004232280 has 128 divisors (see below), whose sum is σ = 14058961862400. Its totient is φ = 964043085312.

The previous prime is 4134004232249. The next prime is 4134004232321. The reversal of 4134004232280 is 822324004314.

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, 69707274 + ... + 69766553.

It is an arithmetic number, because the mean of its divisors is an integer number (109835639550).

Almost surely, 24134004232280 is an apocalyptic number.

4134004232280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134004232280 is an abundant number, since it is smaller than the sum of its proper divisors (9924957630120).

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

4134004232280 is a wasteful number, since it uses less digits than its factorization.

4134004232280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139473873 (or 139473869 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4134004232280 its reverse (822324004314), we get a palindrome (4956328236594).

The spelling of 4134004232280 in words is "four trillion, one hundred thirty-four billion, four million, two hundred thirty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1976 2280 2470 2964 3705 4940 5928 7410 9880 14820 29640 139473827 278947654 418421481 557895308 697369135 836842962 1115790616 1394738270 1673685924 1813159751 2092107405 2650002713 2789476540 3347371848 3626319502 4184214810 5300005426 5439479253 5578953080 7252639004 7950008139 8368429620 9065798755 10600010852 10878958506 13250013565 14505278008 15900016278 16736859240 18131597510 21200021704 21757917012 26500027130 27197396265 31800032556 34450035269 36263195020 39750040695 43515834024 53000054260 54394792530 63600065112 68900070538 72526390040 79500081390 103350105807 106000108520 108789585060 137800141076 159000162780 172250176345 206700211614 217579170120 275600282152 318000325560 344500352690 413400423228 516750529035 689000705380 826800846456 1033501058070 1378001410760 2067002116140 4134004232280