Search a number
-
+
60428743440 = 24351319368187
BaseRepresentation
bin111000010001110101…
…010111001100010000
312202222101100020011220
4320101311113030100
51442224224242230
643432141405040
74236323562402
oct702165271420
9182871306156
1060428743440
112369a4a538a
12b865569780
135910523830
142cd37bab72
15188a1e2d10
hexe11d57310

60428743440 has 80 divisors (see below), whose sum is σ = 201739046208. Its totient is φ = 14874766848.

The previous prime is 60428743399. The next prime is 60428743481. The reversal of 60428743440 is 4434782406.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (60428743399) and next prime (60428743481).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 60428743392 and 60428743401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9680974 + ... + 9687213.

Almost surely, 260428743440 is an apocalyptic number.

60428743440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

60428743440 is an abundant number, since it is smaller than the sum of its proper divisors (141310302768).

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

60428743440 is a wasteful number, since it uses less digits than its factorization.

60428743440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19368216 (or 19368210 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 60428743440 in words is "sixty billion, four hundred twenty-eight million, seven hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 19368187 38736374 58104561 77472748 96840935 116209122 154945496 193681870 232418244 251786431 290522805 309890992 387363740 464836488 503572862 581045610 755359293 774727480 929672976 1007145724 1162091220 1258932155 1510718586 1549454960 2014291448 2324182440 2517864310 3021437172 3776796465 4028582896 4648364880 5035728620 6042874344 7553592930 10071457240 12085748688 15107185860 20142914480 30214371720 60428743440