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730142431770 = 2351731307150431
BaseRepresentation
bin10101001111111111110…
…00010101101000011010
32120210121212210120202210
422213333320111220122
543430312430304040
61315231154135550
7103515416161233
oct12477770255032
92523555716683
10730142431770
11261719405834
12b960b2815b6
1353b101b119b
14274a662808a
1513ed5468480
hexa9ffe15a1a

730142431770 has 128 divisors (see below), whose sum is σ = 1921524498432. Its totient is φ = 176761267200.

The previous prime is 730142431763. The next prime is 730142431831. The reversal of 730142431770 is 77134241037.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4778455 + ... + 4928885.

It is an arithmetic number, because the mean of its divisors is an integer number (15011910144).

Almost surely, 2730142431770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730142431770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960762249216).

730142431770 is an abundant number, since it is smaller than the sum of its proper divisors (1191382066662).

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

730142431770 is a wasteful number, since it uses less digits than its factorization.

730142431770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150796.

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 730142431770 in words is "seven hundred thirty billion, one hundred forty-two million, four hundred thirty-one thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 307 310 465 510 527 614 921 930 1054 1535 1581 1842 2635 3070 3162 4605 5219 5270 7905 9210 9517 10438 15657 15810 19034 26095 28551 31314 47585 52190 57102 78285 95170 142755 150431 156570 161789 285510 300862 323578 451293 485367 752155 808945 902586 970734 1504310 1617890 2256465 2426835 2557327 4512930 4663361 4853670 5114654 7671981 9326722 12786635 13990083 15343962 23316805 25573270 27980166 38359905 46182317 46633610 69950415 76719810 79277137 92364634 138546951 139900830 158554274 230911585 237831411 277093902 396385685 461823170 475662822 692734755 785099389 792771370 1189157055 1385469510 1431651827 1570198778 2355298167 2378314110 2863303654 3925496945 4294955481 4710596334 7158259135 7850993890 8589910962 11776490835 14316518270 21474777405 23552981670 24338081059 42949554810 48676162118 73014243177 121690405295 146028486354 243380810590 365071215885 730142431770