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2353430220240 = 2435112213340277
BaseRepresentation
bin100010001111110011010…
…111110100110111010000
322022222121121011021220010
4202033303113310313100
5302024311114021430
65001052333114520
7332013123544311
oct42176327646720
98288547137803
102353430220240
118280a20073a0
1232013b028a40
13140c099a9ac8
1481c99b18608
1541341257cb0
hex223f35f4dd0

2353430220240 has 160 divisors (see below), whose sum is σ = 7959430313856. Its totient is φ = 570488596480.

The previous prime is 2353430220217. The next prime is 2353430220241. The reversal of 2353430220240 is 420220343532.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2353430220198 and 2353430220207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353430220241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 58410982 + ... + 58451258.

Almost surely, 22353430220240 is an apocalyptic number.

2353430220240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2353430220240 is an abundant number, since it is smaller than the sum of its proper divisors (5606000093616).

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

2353430220240 is a wasteful number, since it uses less digits than its factorization.

2353430220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62437 (or 62431 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 2353430220240 its reverse (420220343532), we get a palindrome (2773650563772).

The spelling of 2353430220240 in words is "two trillion, three hundred fifty-three billion, four hundred thirty million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 22133 40277 44266 66399 80554 88532 110665 120831 132798 161108 177064 201385 221330 241662 243463 265596 322216 331995 354128 402770 442660 443047 483324 486926 531192 604155 644432 663990 730389 805540 885320 886094 966648 973852 1062384 1208310 1217315 1327980 1329141 1460778 1611080 1770640 1772188 1933296 1947704 2215235 2416620 2434630 2655960 2658282 2921556 3222160 3544376 3651945 3895408 4430470 4833240 4869260 5311920 5316564 5843112 6645705 7088752 7303890 8860940 9666480 9738520 10633128 11686224 13291410 14607780 17721880 19477040 21266256 26582820 29215560 35443760 53165640 58431120 106331280 891450841 1782901682 2674352523 3565803364 4457254205 5348705046 7131606728 8914508410 9805959251 10697410092 13371762615 14263213456 17829016820 19611918502 21394820184 26743525230 29417877753 35658033640 39223837004 42789640368 49029796255 53487050460 58835755506 71316067280 78447674008 98059592510 106974100920 117671511012 147089388765 156895348016 196119185020 213948201840 235343022024 294178777530 392238370040 470686044048 588357555060 784476740080 1176715110120 2353430220240