Search a number
-
+
147235517040 = 243510939714177
BaseRepresentation
bin1000100100011111101…
…0111011001001110000
3112002001002121020011210
42021013322323021300
54403014243021130
6151350012040120
713431430150113
oct2110772731160
9462032536153
10147235517040
115749567a197
1224650a63040
1310b65909421
1471aa57457a
153c6b05d5b0
hex2247ebb270

147235517040 has 160 divisors (see below), whose sum is σ = 461810352960. Its totient is φ = 38801866752.

The previous prime is 147235517029. The next prime is 147235517059. The reversal of 147235517040 is 40715532741.

147235517040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1472355170402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 147235517040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10378432 + ... + 10392608.

It is an arithmetic number, because the mean of its divisors is an integer number (2886314706).

Almost surely, 2147235517040 is an apocalyptic number.

147235517040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147235517040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230905176480).

147235517040 is an abundant number, since it is smaller than the sum of its proper divisors (314574835920).

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

147235517040 is a wasteful number, since it uses less digits than its factorization.

147235517040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14699 (or 14693 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The spelling of 147235517040 in words is "one hundred forty-seven billion, two hundred thirty-five million, five hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 240 327 397 436 545 654 794 872 1090 1191 1308 1588 1635 1744 1985 2180 2382 2616 3176 3270 3970 4360 4764 5232 5955 6352 6540 7940 8720 9528 11910 13080 14177 15880 19056 23820 26160 28354 31760 42531 43273 47640 56708 70885 85062 86546 95280 113416 129819 141770 170124 173092 212655 216365 226832 259638 283540 340248 346184 425310 432730 519276 567080 649095 680496 692368 850620 865460 1038552 1134160 1298190 1545293 1701240 1730920 2077104 2596380 3090586 3402480 3461840 4635879 5192760 5628269 6181172 7726465 9271758 10385520 11256538 12362344 15452930 16884807 18543516 22513076 23179395 24724688 28141345 30905860 33769614 37087032 45026152 46358790 56282690 61811720 67539228 74174064 84424035 90052304 92717580 112565380 123623440 135078456 168848070 185435160 225130760 270156912 337696140 370870320 450261520 613481321 675392280 1226962642 1350784560 1840443963 2453925284 3067406605 3680887926 4907850568 6134813210 7361775852 9202219815 9815701136 12269626420 14723551704 18404439630 24539252840 29447103408 36808879260 49078505680 73617758520 147235517040