Search a number
-
+
154974071040 = 283573552847
BaseRepresentation
bin1001000001010100101…
…1001010100100000000
3112211000102001111120220
42100111023022210000
510014341330233130
6155105532103040
714124254604045
oct2202513124400
9484012044526
10154974071040
115a7a6906368
1226050604a80
13117c9c30069
1477022231cc
154070613410
hex24152ca900

154974071040 has 144 divisors (see below), whose sum is σ = 501729462528. Its totient is φ = 40760229888.

The previous prime is 154974071029. The next prime is 154974071041. The reversal of 154974071040 is 40170479451.

It is a junction number, because it is equal to n+sod(n) for n = 154974070983 and 154974071001.

It is not an unprimeable number, because it can be changed into a prime (154974071041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3897 + ... + 556743.

Almost surely, 2154974071040 is an apocalyptic number.

154974071040 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 154974071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250864731264).

154974071040 is an abundant number, since it is smaller than the sum of its proper divisors (346755391488).

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

154974071040 is an equidigital number, since it uses as much as digits as its factorization.

154974071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552944 (or 552930 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 154974071040 in words is "one hundred fifty-four billion, nine hundred seventy-four million, seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 256 292 320 365 384 438 480 584 640 730 768 876 960 1095 1168 1280 1460 1752 1920 2190 2336 2920 3504 3840 4380 4672 5840 7008 8760 9344 11680 14016 17520 18688 23360 28032 35040 46720 56064 70080 93440 140160 280320 552847 1105694 1658541 2211388 2764235 3317082 4422776 5528470 6634164 8292705 8845552 11056940 13268328 16585410 17691104 22113880 26536656 33170820 35382208 40357831 44227760 53073312 66341640 70764416 80715662 88455520 106146624 121073493 132683280 141528832 161431324 176911040 201789155 212293248 242146986 265366560 322862648 353822080 403578310 424586496 484293972 530733120 605367465 645725296 707644160 807156620 968587944 1061466240 1210734930 1291450592 1614313240 1937175888 2122932480 2421469860 2582901184 3228626480 3874351776 4842939720 5165802368 6457252960 7748703552 9685879440 10331604736 12914505920 15497407104 19371758880 25829011840 30994814208 38743517760 51658023680 77487035520 154974071040