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142621440 = 2835132857
BaseRepresentation
bin10001000000000…
…11101100000000
3100221100220211120
420200003230000
5243002341230
622052512240
73351155643
oct1040035400
9327326746
10142621440
1173562665
123b91b680
13237175b0
1414d27a5a
15c7c3310
hex8803b00

142621440 has 144 divisors (see below), whose sum is σ = 490707168. Its totient is φ = 35094528.

The previous prime is 142621417. The next prime is 142621471. The reversal of 142621440 is 44126241.

It is a happy number.

142621440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 142621440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48492 + ... + 51348.

Almost surely, 2142621440 is an apocalyptic number.

142621440 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 142621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245353584).

142621440 is an abundant number, since it is smaller than the sum of its proper divisors (348085728).

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

142621440 is a wasteful number, since it uses less digits than its factorization.

142621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 142621440 is about 11942.4218649318. The cubic root of 142621440 is about 522.4702973737.

Adding to 142621440 its reverse (44126241), we get a palindrome (186747681).

The spelling of 142621440 in words is "one hundred forty-two million, six hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 2857 3120 3328 3840 4160 4992 5714 6240 8320 8571 9984 11428 12480 14285 16640 17142 22856 24960 28570 34284 37141 42855 45712 49920 57140 68568 74282 85710 91424 111423 114280 137136 148564 171420 182848 185705 222846 228560 274272 297128 342840 365696 371410 445692 457120 548544 557115 594256 685680 731392 742820 891384 914240 1097088 1114230 1188512 1371360 1485640 1782768 1828480 2194176 2228460 2377024 2742720 2971280 3565536 3656960 4456920 4754048 5485440 5942560 7131072 8913840 9508096 10970880 11885120 14262144 17827680 23770240 28524288 35655360 47540480 71310720 142621440