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146014301430 = 2335737408133
BaseRepresentation
bin1000011111111100100…
…0010110110011110110
3111221212222200001022000
42013333020112303312
54343014130121210
6151024505120130
713356241040544
oct2077710266366
9457788601260
10146014301430
1156a192a2898
122436ba89046
13109cc8c743a
1470d22c0d94
153be8c31ac0
hex21ff216cf6

146014301430 has 64 divisors (see below), whose sum is σ = 394705379520. Its totient is φ = 38403756288.

The previous prime is 146014301429. The next prime is 146014301437. The reversal of 146014301430 is 34103410641.

146014301430 is a `hidden beast` number, since 1 + 4 + 601 + 43 + 0 + 14 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 146014301394 and 146014301403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146014301437) 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, 3684357 + ... + 3723776.

It is an arithmetic number, because the mean of its divisors is an integer number (6167271555).

Almost surely, 2146014301430 is an apocalyptic number.

146014301430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146014301430 is an abundant number, since it is smaller than the sum of its proper divisors (248691078090).

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

146014301430 is a wasteful number, since it uses less digits than its factorization.

146014301430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7408222 (or 7408216 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 146014301430 in words is "one hundred forty-six billion, fourteen million, three hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 135 146 219 270 365 438 657 730 1095 1314 1971 2190 3285 3942 6570 9855 19710 7408133 14816266 22224399 37040665 44448798 66673197 74081330 111121995 133346394 200019591 222243990 333365985 400039182 540793709 666731970 1000097955 1081587418 1622381127 2000195910 2703968545 3244762254 4867143381 5407937090 8111905635 9734286762 14601430143 16223811270 24335716905 29202860286 48671433810 73007150715 146014301430